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Please help ASAP
Find how long it takes $1500 to double if it is invested at 7% interest compound semiannually. Use the formula A=P (1+r/n)^nt to solve the compound interest problem.
It will take approximately ? Years .
Round to the nearest tenth as needed.
Answers
A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years
how many years to double
basically
A=2P at t=?
so we can simplify and ignore the pricipal given and do
[tex]2=(1+ \frac{r}{n})^ \frac{t}{n} [/tex]
r=7%=0.07
n=2 (semiannualy means 2 times per year)
t=t
[tex]2=(1+ \frac{0.07}{2})^ \frac{t}{2} [/tex]
[tex]2=(1+ 0.035)^ \frac{t}{2} [/tex]
[tex]2=(1.035)^ \frac{t}{2} [/tex]
take the ln of both sides
[tex]ln2=(\frac{t}{2})ln1.035 [/tex]
divide both sides by ln1.035
[tex] \frac{ln2}{ln1.035} = \frac{t}{2} [/tex]
times 2 both sides
[tex] \frac{2ln2}{ln1.035} =t [/tex]
use calculator
40.2976=t
nearest tenth
40.3
about 40.3 years
express as the sum or difference of logarithms .simplify answer
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㏒₆(17) + ㏒₆(w)
It is a sum.
[tex]log_6(17w)[/tex] can be expressed as [tex]log_6(17) + log_6(w)[/tex] using the sum of logarithms property.
To express log base 6 of 17w as the sum of logarithms, you can use the properties of logarithms, specifically the product rule for logarithms:
[tex]log_b(xy) = log_b(x) + log_b(y)[/tex]
In this case, you have log base 6 of 17w, and you want to express it as the sum of logarithms. You can do this as follows:
[tex]log_6(17w) = log_6(17) + log_6(w)[/tex]
So, log base 6 of 17w can be expressed as the sum of log base 6 of 17 and log base 6 of w.
This is a straightforward application of the product rule for logarithms, where you split the logarithm of a product into the sum of the logarithms of the individual factors.
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The amount of jen's monthly phone bill is normally distributed with a mean of $65 and a standard deviation of 11. what percentage of her phone bills are between 32 and 98
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:)
The percentage of her phone bills are between 32 and 98 will be 99.73%.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The amount of Jen's monthly phone bill is normally distributed with a mean of $65 and a standard deviation of 11.
Then the percentage of her phone bills are between 32 and 98 will be
The value of z-score for x = 32, we have
z = (32 – 65) / 11
z = –3
The value of z-score for x = 98, we have
z = (98 – 65) / 11
z = 3
Then the percentage will be
P(32 < x < 98) = P(-3 < z < 3) × 100
P(32 < x < 98) = 0.9973 × 100
P(32 < x < 98) = 99.73%
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write an equation of the line containing the given point and perpendicular to the given line. express your answer in the form y=mx+b. (3,7); 7x+y=4. simplify
Answers
Subtract 7x from both sides to accomplish this
7x+y=4
7x+y-7x=4-7x
y = -7x+4
This equation has a slope of -7. This is the same as -7/1
Flip the fraction to get -1/7 and then flip the sign from negative to positive to get +1/7 = 1/7
The slope of this unknown perpendicular line is going to be m = 1/7
We now use the point (3,7) to figure out the value of b
y = mx + b
y = (1/7)*x + b ... plug in the value of m found earlier
7 = (1/7)*3 + b ... plug in the given point; solve for b
7 = (3/7) + b
7-(3/7) = b
49/7 - 3/7 = b
b = 46/7
So the answer in y = mx+b form is
y = (1/7)x + 46/7
where
m = 1/7 is the slope
b = 46/7 is the y intercept
Simplified ratio 0.4
Answers
It can also be expressed as 2 to 5 or 2/5
what is the mean of 23,25,24,26,23,25,22,22,23,40
Answers
all numbers added give = 253
mean = 253/ 10 = 25.3
mean = 25.3
:)
when table sugar is burned in air, carbon dioxide and water vapor are products, as shown by the following unbalaned chemical equation: C12H22O11(s)+O2(g) =CO2(g)+H2O(g)
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The balaned chemical equation of C₁₂H₂₂O₁₁(s)+ 12 O₂(g) = 12 CO₂(g)+ 11 H₂O(g).
What is a balanced chemical equation?A chemical equation is a representation of elements taking part in chemical reactions.In a chemical reaction, all elements are written with their physical state.Law of a chemical equation
The mass of the reactant side is always equal to the mass of the reactant side.To balance the chemical equation coefficient is added to make the number of atoms equal on both sides.Reactant side = product side
C₁₂H₂₂O₁₁(s)+O₂(g)⇒ CO₂(g)+H₂O(g) (unbalanced)
C₁₂H₂₂O₁₁(s)+ 12 O₂(g) ⇒12 CO₂(g)+ 11 H₂O(g) (balanced)
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what is 1.3% of 5000 what is 1/3 of $5,000
Answers
So, the answer is 1650.
The value of 1.3% of 5000 is 65 and 1/3 of $5,000 is 1650.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE know that percentage is a minimum number or ratio that is measured by a fraction of 100.
We need ot find the 1.3% of 5000 and 1/3 of $5,000.
So first 1.3% of 5000 ,
1.3% x 5000
1.3 / 100 x 5000
1.3 x 50
65
Second 1/3 of $5,000,
1/3 x $5,000
0.33 x 5,000
1650
Therefore, the value of 1.3% of 5000 is 65 and 1/3 of $5,000 is 1650.
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Book World receives 12 boxes of books. Each box contains 16 copies of the new best-seller, Norton’s Last Laugh. How many copies of Norton’s Last Laugh does the store receive?
Answers
12 x 16 = 192
The graph y=ln(x) is translated 7 units to the left and 4 units upward. The transformed equation is ____.
Answers
When y is replaced by y - k, the graph shifts k units up if k is positive, and k units down is k is negative.
Leila went to a basketball games. The game started at 2:38 pm and it was 3 hour 40 minutes long. When did the game end
Answers
Leila's basketball game started at 2:38 pm and after adding the duration of 3 hours and 40 minutes, the game ended at 6:18 pm.
Leila went to a basketball game that started at 2:38 pm and lasted for 3 hours and 40 minutes. To find out when the game ended, we need to add the duration of the game to the starting time.
First, let's add the hours:
2:38 pm + 3 hours = 5:38 pm
Next, let's add the minutes:
5:38 pm + 40 minutes = 6:18 pm
Therefore, the basketball game ended at 6:18 pm.
which capital letter appears to have parallel line segments?
A.D
B.L
C.N
D.T
Answers
This is because parallel lines are two lines that will never meet. The two lines on N's outside will never meet
translate into algebraic expression. use the veritable j to rep. janelles score.
8 more than twice janelles score.
Answers
8 more --add 8
2 janelle--2J
Margaret is saving $20 every week so that she can have enough money to buy a bracelet she wants. The bracelet costs $525. What is the minimum number of weeks she will have to save to be able to buy the bracelet.?
Answers
To get this, I divided 520 and 20. It equals 26, but there are still 5 dollars left. She cannot buy the bracelet without them, so you must add on 1 more week.
Good luck!
the answer is 27 weeks
How to estimate 51% of 62
Answers
1/2 * 62 or 62 ÷ 2 = 31
Answer: 31
combine like terms to simplify 2xy-xy-y+7y-xy
Answers
All the "xy" terms can combine.
2xy - xy - xy
(Imagine there is a 1 in front of the variables— 2-1-1=0)
Now you're left with the -y + 7y.
Your answer after combining like terms is 6y.
Sarah's investment in jet blue stock grew 28% to $448 how much did she originally invest?
Answers
X = 448 divide by 1.28
Final answer:
Sarah's original investment was calculated by dividing the final amount of $448 by 1 plus the percentage increase in decimal form, which gives us $350 as the original investment before a 28% growth.
Explanation:
The student is asking to calculate the original investment amount before a 28% increase resulted in a final amount of $448. To find the original investment, we divide the final amount by 1 plus the percentage increase in decimal form. In this case, the percentage increase is 28%, which is 0.28 in decimal form.
The formula to find the original investment (O) is:
O = Final Amount / (1 + Percentage Increase)
So, the original investment would be calculated as follows:
O = $448 / (1 + 0.28) = $448 / 1.28
After performing the division, we find the original investment is:
O = $350
Therefore, Sarah originally invested $350 in JetBlue stock.
Find the ratio of the length of this basketball court to it width as a fraction is simplest form. Width=37ft length=80ft
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without a calculator work out 0.5 multiplied by 0.8
Answers
sooo 0.4 is the answer i believe lemme know if i am wrong
0.5*0.8 = ?
First we need to convert 0.5 and 0.8 into fractions.
The first number after the decimal point (0.#) is in the tenths place, which is to say that the value there is 1/10 of 1. Simplified version... take the number (Example 5 in the number 0.5) and put it over 10. Do it for both numbers!
[tex] \frac{5}{10}* \frac{8}{10} [/tex]
Before we multiply we should reduce them to simplest forms. 5/10 can be divided by 5 on both terms. 8/10 can be reduced by 2 on both terms. Let's look at the new problem:
[tex] \frac{1}{2}* \frac{4}{5} [/tex]
Multiply across! Multiply the numerator with the numerator, and denominator with the denominator... remember:
[tex] \frac{numerator}{denominator} [/tex]
[tex] \frac{1*4}{2*5} [/tex] = [tex] \frac{4}{10} [/tex]
Reduce the fraction by dividing each number by 2.
So our final answer is:
[tex] \frac{2}{5} [/tex] or 0.4
Please help ASAP
Find how long it takes $1500 to double if it is invested at 7% interest compound semiannually. Use the formula A=P (1+r/n)^nt to solve the compound interest problem.
It will take approximately how many Years ?
Round to the nearest tenth as needed.
Answers
A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years
how many years to double
basically
A=2P at t=?
so we can simplify and ignore the pricipal given and do
[tex]2=(1+ \frac{r}{n})^ \frac{t}{n} [/tex]
r=7%=0.07
n=2 (semiannualy means 2 times per year)
t=t
[tex]2=(1+ \frac{0.07}{2})^ \frac{t}{2} [/tex]
[tex]2=(1+ 0.035)^ \frac{t}{2} [/tex]
[tex]2=(1.035)^ \frac{t}{2} [/tex]
take the ln of both sides
[tex]ln2=(\frac{t}{2})ln1.035 [/tex]
divide both sides by ln1.035
[tex] \frac{ln2}{ln1.035} = \frac{t}{2} [/tex]
times 2 both sides
[tex] \frac{2ln2}{ln1.035} =t [/tex]
use calculator
40.2976=t
nearest tenth
40.3
about 40.3 years
kock's kinky curve is created by starting with a straight line segment and replacing it with a four segments, each 1/3 as long as the original segment. So, at the second stage the curve has three bends, At the next stage, each segment is replaced by four segments, and so on. How many bends does this curve have at the third stage? the fourth stage? The nth stage?
Answers
First stage one segment
second stage 3 segment each 1/3 of the original (like dividing the first one into 3) this creates three bending
3rd stage each one of the 1/3 long segments is now divided into 4 making a total of 12
low and behold there is 12 bendings in total
the idea here is each division is considered a bend
Answer:
thats disturbing
Step-by-step explanation:
for today only I am authorizing you to offer a free insurance plan for one year to customers who sign up for our regularly costs 6.99 a month. that will save the customer almost how much a year
Answers
6.99/month
6.99×12=83.88
A customer would save nearly $83.88 in a year if they were offered a free insurance plan which usually costs $6.99 per month.
Explanation:The question pertains to how much a customer would save in a year if they were offered a free insurance plan for one year which normally costs $6.99 a month. To calculate the annual savings, multiply the monthly cost by 12 (the number of months in a year). Therefore, $6.99 x 12 = $83.88. That is nearly how much a customer would save in insurance premiums over the course of a year.
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Determine the unit price to the nearest tenth of a cent, and then determine the better buy. Option A: 12 eggs for $2:30 or Option B: 18 eggs for $3.25
Answers
Answer:
Since the option B has the lower unit price, it is the better buy.
Step-by-step explanation:
The better buy is the one with the lowest unit price.
For each of the Options, we can find the unit price by a rule of three problem.
Rule of three problem
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, the measures are:
- The number of units
- The total price
As the number of units increases, so will the total price, which means that the relationship between the measures is direct and we have the following rule of three:
Option A:
12 units - $2.30
1 unit - $x
12x = 2.30
[tex]x = \frac{2.30}{12}[/tex]
x = $0.20.
In option A, the unit price is $0.20
Option B
18 units - $3.25
1 unit - $x
18x = 3.25
[tex]x = \frac{3.25}{18}[/tex]
x = $0.18.
In option B, the unit price is $0.18.
Since the option B has the lower unit price, it is the better buy.
Skate land charges $50 flat fee for a birthday party rental and $4 for each person. Joanne has no more than $100 to budget for her party. Right and inequality that models for situation and display it on a graph. How many people can attend Joeys party?
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The lottery in an extremely small state consists of picking two different numbers from 1 to 10. Ten Ping-Pong balls numbered 1 through 10 are dropped into a fish bowl, and two are selected at random. Suppose you bet on 2 and 9. What is the probability that you won the lottery?
Answers
To win the lottery by betting on numbers 2 and 9, the combined probability is calculated by multiplying the individual probabilities of drawing each number. The probability of drawing number 2 is 1/10, and subsequently drawing number 9 is 1/9, resulting in a combined probability of 1/90.
Explanation:The question asks about the probability of winning a lottery by correctly guessing two specific numbers out of ten. To determine this probability, we must consider the two stages of the lottery separately. Initially, any one of the ten balls can be drawn, so the probability of drawing the first number you bet on, which is 2 in this case, is 1/10. Once the first ball is chosen, it is not replaced, meaning the second selection will be made from the remaining nine balls. Therefore, the probability of drawing the second number you bet on, number 9, after having already drawn number 2, is 1/9. We use the product rule because we need the outcome of drawing both numbers.
Using the product rule, the combined probability of drawing both numbers in the correct order is calculated by multiplying the probabilities of each individual event. Therefore, the combined probability is (1/10) x (1/9), which simplifies to 1/90. This is the probability of winning the lottery by betting on numbers 2 and 9.
what decimal is equivalent to 8%
(a). 8.0
(b). 0.8
(c). 0.08
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Answer in factored form x^2-2x-35
Answers
the bigger factor is negative since they add to a negative number
add factors, bigger one is negative
1-35=-34, nope
5-7=-2, yep
(x+5)(x-7)
The price, s, of a mountain bike at Speed Cycling is $290 less than twice the price, d, of the same bike at Downhill Racing. The difference in price between the bike at Speed Cycling and Downhill Racing is $304. Which system of equations can be used to determine the price of the bike at each store?
s - 2d = -290
s - d = -304
2s - d = 290
s - d = -304
2s - 2d = 290
s - d = -304
s - 2d = -290
s - d = 304
Answers
s - d = 304
The system of equations that can be used to determine the price of the mountain bike at each store is:
s - 2d = -290
s - d = 304
Let's determine the correct system of equations to find the prices of the mountain bike at Speed Cycling (s) and Downhill Racing (d).
Given:
The price at Speed Cycling (s) is $290 less than twice the price at Downhill Racing (d). This can be expressed as s = 2d - 290.
The price difference between Speed Cycling and Downhill Racing is $304. This can be expressed as s - d = 304.
Now, we have the two equations:
s = 2d - 290
s - d = 304
These equations form a system that can be used to determine the prices of the bike at each store.
To solve for s and d, you can use the method of substitution or elimination. By substituting the value of s from the first equation into the second equation, you can find the prices of the bike at each store:
Substitute s from the first equation into the second equation:
(2d - 290) - d = 304
Now, solve for d:
d - 290 = 304
Add 290 to both sides:
d = 304 + 290
d = 594
Now that you've found the price at Downhill Racing (d), you can find the price at Speed Cycling (s) by using the first equation:
s = 2d - 290
s = 2 * 594 - 290
s = 1188 - 290
s = 898
So, the price of the mountain bike at Downhill Racing (d) is $594, and the price at Speed Cycling (s) is $898.
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Pool is 25ft long and 15 ft wide and the width of the walkway is to be the same all around the pool. How wide do I make the walkway?
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How many hundredths are in 401.308
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That easy