The amount of interest earned by $6000 invested by a certain rate is $220 less than $13000 would earn at a 1% lower rate. At what rate is,the $6000 invested?

Answers

Answer 1
let's recall that I = Prt

so... hmm we're assuming here, it doesn't say there, but this is for 1 year period.

ok... so... let's use two quantities for such interest, say "a" is the Interest for the Principal of 6000, and let's use "b" is the Interest for the Principal of 13000.

[tex]\bf \qquad \textit{Simple Interest Earned}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$6000\\ r=rate\to r\%\to& \frac{r}{100}\\ t=years\to &1 \end{cases} \\\\\\ a=6000\left( \frac{r}{100} \right)1\implies \stackrel{\textit{P=6000}}{a=60r}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \qquad \textit{Simple Interest Earned}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$13000\\ r=rate\to (r-1)\%\to &\frac{r-1}{100}\\ t=years\to &1 \end{cases} \\\\\\ b=13000\left( \frac{r-1}{100} \right)1\implies \stackrel{\textit{P=13000}}{b=130(r-1)}[/tex]

now, we know that, whatever the interest amount of "a" is, is 220 less than whatever "b" is.

we know what "b" is, b = 130(r-1), and 220 less than that is just b - 220, or 130(r-1) - 220.

[tex]\bf a=60r\qquad \boxed{a=130(r-1) - 220}\implies 130(r-1)-220=60r \\\\\\ 130r-130-220=60r\implies 70r=350\implies r=\cfrac{350}{70}\implies r=5[/tex]

Related Questions

During a 10-day period, the balance of Martas chexking account dropped $290. Write a division expression ro represent the change. Then determine the average daily change in account balance during that 10-day period

Answers

i did x - 10 =290 
           +10   +10
            -------------
             x = 300   so they took $1.00 a day

lesson 6 divide whole numbers

Answers

Is there any photo? I need one to solve the problem you need help with.

A flower bed is 5 yards long and 4 yards wide. what is its area in square feet?

Answers

5 yards = 15 feet 
4 yards = 12 feet 

15*12 = 180 ft^2

i think
1 yard = 3 feet

5 yards = 15 feet
4 yards = 12 feet

Area of rectangle = length × width

Area = 15 × 12

Area = 180 sq. ft.

What is 859 divided by 3?

Answers

859/3 = 286 1/3

Hope this helped!

using the Pythagorean theogram find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long

Answers

Pythagorean Theorem is A^2 + B^2 =C^2. So, to find a leg instead of the hypotenuse you switch it around to C^2 - B^2=A^2. 10^2 - 8^2= the missing leg. 100- 64=C^2. 100-64=36. So then, you just square root the 36 which is 6. So 6 is the length of the other leg. And, if you want to you can take original Pythagorean Theorem and plug in all the numbers to double check. 

The length of a leg of a right triangle is 6 feet.

Used the concept of Pythagoras's theorem states,

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that,

In a triangle, the other leg is 8 feet long and the hypotenuse is 10 feet long.

Let us assume that,

the length of a leg of a right triangle = x

Hence by using Pythagoras's theorem,

10² = 8² + x²

100 = 64 + x²

100 - 64 = x²

36 = x²

x² =36

x = √36

x = 6

Therefore, the length of the leg is 6 feet.

To learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

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Carlos finds the absolute value of -5.3, and then finds the opposite of his answer. Jason finds the opposite of -5.3 and then finds the absolute value of his answer. What final value is greater? EXPLAIN

Answers

The absolute value is how far away a number is from the number line, so it is always positive. If Carlos finds the opposite of the absolute value, that means he found the negative version. So Jason's final value will be greater.
Absolute value of -5.3  is 5.3.

The opposite of 5.3 is -5.3

Abslote value of this is 5.3

So the 2 values are the same.

How much heavier is a 9 1/8 pound box than a 2 5/6 pound box

Answers

9 1/8 - 2 5/6 = 6  7/24

You use your mobile phone to phone home every day. It costs $15 per month and 18c per minute for phone calls. 

How much will you have to pay for 420 minutes of calls including the monthly charge?

Answers

420 x 18c= 75.60
+15.00
=90.60

Get around cab company charges 2.50 upon entry and $2 per mile. Wrote the function that represents the cost of C of a ride of m miles

Answers

C=2.50+2m
This is your standard y=mx+b equation. 2.50 is your y intercept or starting point. 2m is the slop of the line. 2 on the x axis for every 1 on the y axis.

The 128 employees of a company volunteer 12,480 hours in 26 weeks. On average, how many hours do they all volunteer per weeks? On average, how many hours does each employee volunteer per week?

Answers

The company's employees volunteer an average of 480 hours per week in total, and each employee volunteers an average of 3.75 hours per week.

To calculate the average number of hours the employees of a company volunteer per week, you would divide the total hours volunteered by the number of weeks. So, the calculation for the average weekly volunteer hours for the entire company is 12,480 hours divided by 26 weeks, which is 480 hours per week.

To find out the average number of hours each employee volunteers per week, divide the weekly volunteer hours by the number of employees. Using the previous calculation of 480 hours per week for the entire company and dividing by 128 employees, you get an average of 3.75 hours per employee per week.

Whats 526 divided by 8

Answers

65.75 is the answer.
65.75

526÷8= 65.75
8 goes into 50 - 6 times 6 * 8 is 48 so 52-48 is 46 8 goes into 46 V * 5 * 8 is 4046 - 40 is 6 then you have to put it .0 which makes it 60 so it goes in a 67 * 7 * 8 is 5660 - 56 is for bring down a 08 goes in a 45 times and that's how you get your answer

how to find domain and range in a graph and will give the bainliest to whoever explains to me on how to do it.

Answers

To find the domain of a graph observe the intervals of x that the line touches, and make an inequality of it. Same for the range but it's for the intervals of y. If the graph goes forever, then include "infinity" on the inequality

Which operation could we perform in order to find the number of milliseconds in a year? 60 * 60 * 24 * 7 * 365 1000 * 60 * 60 * 24 * 365 24 * 60 * 100 * 7 * 52 1000 * 60 * 24 * 7 * 52?

Answers

Use the following abbreviations:
y = year,
d = day,
h = hour,
min = minute,
s = second,
ms = millisecond.

Then
[tex]1 \, y = (1 \, y)*(365 \, \frac{d}{y} )*(24 \, \frac{h}{d} )*(60 \, \frac{min}{h} )*(60 \, \frac{s}{min} )*(1000 \, \frac{ms}{s} )[/tex]

Therefore, the correct calculation is
1000 * 60 * 60 * 24 * 365

Answer: 1000 * 60 * 60 * 24 * 365

Final answer:

To find the number of milliseconds in a year, multiply the number of milliseconds in a day by the number of days in a year: 86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year.

Explanation:

To find the number of milliseconds in a year, we need to multiply the number of milliseconds in a day by the number of days in a year. There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. So, there are 24 * 60 * 60 = 86,400 seconds in a day. And since there are 365 days in a year, we can calculate the number of milliseconds in a year as:

86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year

what is the length of each leg in the right triangle shown below

Answers

Answer:

Step-by-step explanation:

2

Answer:

7

Step-by-step explanation:

which is greater 9.087 or 9.807

Answers

9.807 is Greater Than 9.087
9.807 is greater vs 9.087 is smaller

A trip from new york to seattle is 2852.1 miles. A family wants to make the drive in ten days, driving the same number of miles each day. About how many miles will they drive each day? Round your answer to the nearest tenth of a mile.

Answers

2852.1 divided by 10=285.21
They will drive 285.2 miles every day

Answer:

285.2 miles per day.

Step-by-step explanation:

We have been given that a trip from New York to Seattle is 2852.1 miles. A family wants to make the drive in ten days.

To find the distance traveled by the family each day, we will divide total distance by 10 as:

[tex]\text{Distance traveled by the family each day}=\frac{2852.1\text{ miles}}{\text{ 10 days}}[/tex]

[tex]\text{Distance traveled by the family each day}=\frac{285.21\text{ miles}}{\text{day}}[/tex]

[tex]\text{Distance traveled by the family each day}\approx \frac{285.2\text{ miles}}{\text{day}}[/tex]

Therefore, the family will drive 285.2 miles per day.

Which of the following is not considered one of the four basic types of auto insurance? a. Collision b. Bodily Injury c. Property Damage d. Legal Responsibility

Answers

Answer:

d. Legal Responsibility

Step-by-step explanation:

When purchasing auto insurance, "full coverage" insurance will include:

Collision coverage;

Bodily Injury coverage;

Property damage coverage;

and Comprehensive coverage.

Legal Responsibility is not one of these major types.

Legal Responsibility is not considered as the component of auto insurance because auto insurance only consists of collision, bodily injury, medical payment or personal injury protection and property damage liability. Therefore option (d) is correct.

Further Explanation:

Auto Insurance: It is a contract between two parties of which is the insurer, and the other one is insured. An insurer is a person who agrees to pay the insured in any unforeseen circumstances like accidents, thefts, property damage, etc. In case of auto insurance, the insurance company takes the responsibility of all the damages which are done to the holder of the auto or the auto, but it does not take the responsibility of any legal damage to the insured.

Learn more:

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Answer details:

Grade: Senior School

Subject: Business Studies

Chapter: Insurance

Keywords: Insurance, collision, bodily injury, insurance claims, legal responsibility, property damage, types of auto insurance, auto insurance, the insurance company, responsibility, damages, holder of the auto, legal damage to the insured, basic type of auto insurance, contract, between two parties, insurer, who agrees to pay, the insured.

A recipe that yields 12 cups of soup calls for 24 oz of beef broth. How many ounces of beef broth do you need to make 18 cups of soup?

Answers

The ratio is 1:2. If "1" is 18, we need to multiply 18 and 2, or 36.

Hope this helps!

You are creating identical picnic baskets using 30 sandwhiches and 42 cookies. What is the greatest number of baskets that you can fill using all of the food?

Answers

Here, you want to find the GCF, or the greatest common factor.

Simplest way to do this is by listing out all the factors.

30: 1, 2, 3, 5, 6, 10, 15, 30
42: 1, 2, 3, 6, 7, 14, 21, 42

So the greatest number that they share is 6.

So there would be 6 picnic baskets. (With 5 sandwiches and 7 cookies in each)
the answer would be 6 baskets with 7 cookies and 5 sandwiches in each basket

Why did the scientist make an exact duplicate of himself

Answers

This is a math riddle in which you can only discover the answer by cracking the given equations and each answer has the corresponding letters. Nonetheless, the solution to this is the scientist created an exact duplicate of himself because HE WAS JUST CLONING AROUND

Answer:

he was just cloning around!

Step-by-step explanation:

it's a riddle :)

1.33 equals .002 divided by 6A. Solve for A?

Answers

Hey Tyler

1.33 = 0.002/6a
Cross multiply
1.33(6a) = 0.002
7.98a = 0.002
Divide both sides by 7.98
7.98a/7.98 = 0.002/7.98
a = 0.000251

I hope I helped!

the states C&D spend a total of 55.6 million dollars for tourism the state C spends 3.2 million dollars more than State D find the amount that each state spends on tourism.

Answers

Alright, let's break this down.
State D blew 55.6 million bucks on tourism.
State C spends an unknown amount, we just know it's 3.2 million MORE than state D.
Well, since we know State D spent 55.6 million on tourism, just add 3.2 million to it to find out how much State C spent.
55.6+3.2=58.8.

This means the state's spent:
State D: 55.6
State C: 58.8

~Hope this helps!

A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the height, z, of the trapezoid. In your final answer, include all of the formulas and calculations necessary.

Answers

check the picture below.

[tex]\bf A=\cfrac{h(a+b)}{2}\quad \begin{cases} A=20\\ a=6z-1\\ b=2z+3\\ h=z \end{cases}\implies 20=\cfrac{z[(6z-1)~+~(2z+3)]}{2} \\\\\\ 20=\cfrac{z(8z+2)}{2}\implies 20=\cfrac{2z(4z+1)}{2}\implies 20=z(4z+1) \\\\\\ 20=4z^2+z\implies 0=4z^2+z-20[/tex]

[tex]\bf \qquad \qquad \textit{quadratic formula}\\\\ \begin{array}{llccll} 0=&{{ 4}}z^2&{{ +1}}x&{{ -20}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array} \qquad \qquad z= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}} \\\\\\ z=\cfrac{-1\pm\sqrt{1+320}}{8}\implies z=\cfrac{-1\pm\sqrt{321}}{8}\implies z\approx \begin{cases} \boxed{2.1146}\\ -2.3646 \end{cases}[/tex]

since the height is just a length unit, it can't be -2.3646.

Answer:

2.11 cm

Step-by-step explanation:

As you can see in the picture I put the sides in the trapezoid. Now, let's use the area's formula:

A = [tex]\frac{(B+b)*h}{2}[/tex]

where B is the Largest parallel side, b the smallest parallel side and h is the height.

Now,

20 =  [tex]\frac{(6z-1+2z+3)*z}{2}[/tex]

20 =  [tex]\frac{(8z^{2}+2z}{2}[/tex]

20 = [tex]4z^{2}+z[/tex]

[tex]4z^{2}+z-20=0[/tex]

Then, we use the cuadratic formula z= [tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex] where a=4, b=1 and c=-20.

z= [tex]\frac{-1+-\sqrt{1-4(4)(-20)} }{8}[/tex]

z =  [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]

z =  [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]

z =  [tex]\frac{-1+-17.91}{8}[/tex]

As we are searching lenght we choose the positive z value

z =  [tex]\frac{-1+17.91}{8}[/tex]

z=  [tex]\frac{16.91}{8}[/tex]

z =  2.11 cm.

Find the additive inverse of each number. 1. 15 2. – 27 3. 7 9 4. 9 16  5. 0 6. – 1

Answers

The additive inverse of a number is otherwise known as its opposite.

The additive inverse of 15 is -15.
The additive inverse of -27 is 27.
The additive inverse of 0 is 0 itself!

a + (-a) = 0
A number plus its additive inverse equals zero!

The large rectangle's dimension are three times the dimensions of the small rectangle.

Answers

The dimensions of the larger rectangle will be three times the dimensions of the smaller rectangle.

How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?

Answers

9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ a_1=9\\ d=-7\\ a_n=-187 \end{cases} \\\\\\ -187=9+(n-1)(-7)\implies -187=9-7n+7 \\\\\\ 7n=9+7+187\implies 7n=203\implies n=\cfrac{203}{7}\implies \boxed{n=29}[/tex]

Final answer:

To find the number of terms in the arithmetic sequence 9, 2, −5, ..., −187, the formula for the nth term of an arithmetic sequence is used with the first term a1, common difference d, and the last term an. By solving an = a1 + (n - 1)*d for n, it is found that there are 29 terms in the sequence.

Explanation:

To determine how many terms are in the arithmetic sequence 9, 2, −5, ..., −187, we use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)*d where,
a1 is the first term,
d is the common difference, and
n is the number of terms.

For the given sequence:

a1 = 9 (the first term)

d = 2 - 9 = -7 (the common difference)

an = −187 (the last term)

We need to find the value of n that satisfies:

−187 = 9 + (n - 1)*(-7)

Solving for n gives us:

−187 - 9 = (n - 1)*(-7)

n - 1 = 28/7

n = 28 + 1

n = 28 + 1

n = 29

Therefore, there are 29 terms in the arithmetic sequence.

If it costs 9.50 to buy a movie ticket what is the most number of tickets someone can buy for 40.00 and how much money is left over

Answers

4, and two dollars are left.
Four and two dollars

Evaluate n + 11 for n = 3.

A: 331
B: 33
C: 14
D: 8

Answers

the answer is 14. if n equals 3 and you use the equation instead of n. 3+11 that would equal 14
C is the answer

the answer is 14, or C.

need work?:
n + 11

substitute in n.

3 + 11 
14

Hope this helps, have a great day! :D

If mountain mack splits his week evenly between carving fishing lures and duck decoys, what is the maximum number of fishing lures and duck decoys he could carve?

Answers

Given the question:

Mountain Mark and Big Lake Bob spend their time carving fishing lures and duck decoys. The table below shows their production possibility schedule, which describes various combinations of fishing lures and duck decoys they each can carve efficiently in a week.

[tex]\begin{center} \begin{tabular} {|c {2.3cm}|c {2.3cm}|c {2.3cm}|c {2.3cm}|} \multicolumn {4} {|c|} {Production Possibility Schedules}\\[1ex] \multicolumn {2} {|c|} {Mountain Mark}&\multicolumn {2} {|c|} {Big Lake Bob}\\[1ex] Fishing Lures&Duck Decoys&Fishing Lures&Duck Decoys\\[1ex] 40&0&100&0\\ 32&10&80&6\\ 24&20&60&12\\ 16&30&40&18\\ 8&40&20&24\\ 0&50&0&30 \end{tabular} \end{center}[/tex]

If mountain mack splits his week evenly between carving fishing lures and duck decoys, what is the maximum number of fishing lures and duck decoys he could carve?


From the table it can be seen that in a full week, if mountain mack is carving fishing lures only, he can carve 40 fishing lures. This means that in half of a week, he can carve 20 fishing lures.

Similarly, from the table it can be seen that in a full week, if mountain mack is carving duck decoys only, he can carve 50 duck decoys. This means that in half of a week, he can carve 25 duck decoys.

Therefore, if mountain mack splits his week evenly between carving fishing lures and duck decoys, the maximum number of fishing lures and duck decoys he could carve are 20 fishing lures and 25 duck decoys.
Final answer:

To find the maximum number of fishing lures and duck decoys Mountain Mack can carve, we need to divide his available time equally between the two activities. The maximum number of each item he can carve depends on the total hours available, the time it takes to carve a fishing lure, and the time it takes to carve a duck decoy.

Explanation:

To find the maximum number of fishing lures and duck decoys that Mountain Mack could carve, we need to split his week evenly between the two activities. Let's say he has a total of 'x' hours available in a week. Since he'll be dividing his time equally, he'll spend 'x/2' hours carving fishing lures and 'x/2' hours carving duck decoys.

To put this in terms of fishing lures and duck decoys, we need to know the time it takes to carve each item. Let's say it takes 'y' hours to carve a fishing lure and 'z' hours to carve a duck decoy. The maximum number of fishing lures Mountain Mack can carve would be 'x/2y' and the maximum number of duck decoys he can carve would be 'x/2z'.

So, to find the maximum number of fishing lures and duck decoys Mountain Mack can carve, we need to know the total number of hours available in a week ('x'), the time it takes to carve a fishing lure ('y'), and the time it takes to carve a duck decoy ('z').

Lana earned $49on friday $42 on saturday,and $21 on sunday selling bracelets she sold each bracelet for the same amount what is the most she could have charged for eac bracelet?

Answers

$7 because all you have to do is find the greatest common denominator. Which is 7. 7 is the greatest common denominator in the bunch. 7 goes into 21, 42, 49.
Answer:

The most amount she could have charged for each bracelet is:

                            $ 7

Step-by-step explanation:

It is given that:

Lana earned $49 on Friday $42 on Saturday,and $21 on Sunday selling bracelets.

Also, she sold each bracelet for the same price.

This means that if the maximum cost of each bracelet will be the greatest common divisor i.e. G.C.D. of the amount she earned each day.

which is G.C.D(49,42,21)=7

Hence, the answer is: $ 7

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