George wants to save money for a car. George invest 1300 and an account that is an interest rate of 7.5%
How many years will it take for that account 7,100?
Answers
7100=1300 (1+0.075)^t
Solve for t
Divide both sides by 1300 to get
7100/1300=(1+0.075)^t
Take the log for both sides
Log (7100/1300)=t×log (1.075)
Divide both sides by log (1.075) to get
T=log(7,100÷1,300)÷log(1.075)
T=23.48 years round your answer to get 23 years
Hope it helps!
Related Questions
The pitcher for the robins throws a baseball at 90.0 miles per hour. The pitcher on the bluebirds throws a baseball 121 feet per second. Which pitcher throws a baseball faster?
Answers
Answer:
The pitcher of robins throws a baseball faster.
Step-by-step explanation:
Speed of base ball thrown by the pitcher for the robins = 90.0 mile/hour
1 mile = 5280 feets
1 hour = 3600 seconds
[tex]90.0 mile/hour=\frac{90.0\times 5280 feet}{3600 s}=132 feet/s[/tex]
Speed of base ball thrown by the pitcher for the bluebirds= 121 feet/s
132 feet/s > 121 feet/s
The pitcher of robins throws a baseball faster.
least common multiple of 8 and 12
Answers
hopee this helped u
12⋅1=12
This is not divisible by 8.
12⋅2=24
This is divisible by 8.
8⋅3 =24
the least common multiple is 24
SOLVE Janet piano teacher charged $12.50 for a 30-minute lesson if Janet has a 4 lesson per month how much will she owe her piano teacher a year
Answers
What is the total cost of a pair of jeans that are priced $50.00 if there is 7 1/2% sales tax
Answers
7.5 = .075
50 multiplied by .075 is 3.75
50 added with $3.75 is $53.75.
The total cost of the jeans are $53.75.
Hope this helps!
he Mitchell family is renting a boat for the day. The boat rental has a flat fee of $100 plus $20 for each hour. They have to pay for a whole hour even if they are not out on the lake for a whole hour. For example, if they rent the boat for 3 and one-half hours, they have to pay for 4 hours. If they want to spend $250 or less on the boat rental for the day, how many hours can they rent the boat? Write an inequality and solve.
Answers
250-100 = 150
150/20 = 7.5
7 hours
inequality: 100+20x <=250
They can rent the boat for 7 hours for $ 240 in total.
Since the Mitchell family is renting a boat for the day, and the boat rental has a flat fee of $ 100 plus $ 20 for each hour, and they have to pay for a whole hour even if they are not out on the lake for a whole hour, to determine, if they want to spend $ 250 or less on the boat rental for the day, how many hours can they rent the boat, the following calculation must be performed:
Fixed cost + Variable cost multiplied by the number of hours = Final cost 100 + 20X = 250 20X = 150 X = 150/20 X = 7.5 100 + 20 x 8 = 100 + 160 = 260 100 + 20 x 7 = 100 + 140 = 240
So they can rent the boat for 7 hours for $ 240 in total.
Learn more in https://brainly.com/question/14963327
A vineyard has 165 acres of chardonnay grapes. a particular soil supplement requires 6.00 grams for every square meter of vineyard. how many kilograms of the soil supplement are required for the entire vineyard? (recall that 1 km2 = 247 acres)
Answers
(145 acres / 247 acres) x 1 x 10^6 m^2 = 5.87 x 10^5 m^2
5.5 g/m^2 x 5.87 x 10^5 m^2 = 3.23 x 10^6 g
3.23 x 10^6 g x 1kg/10000 g = 3.23 x 10^3 kg
Answer:
4008.10 kg
Step-by-step explanation:
We have been given that a vineyard has 165 acres of chardonnay grapes. a particular soil supplement requires 6.00 grams for every square meter of vineyard.
We know that 1 squared km equals 247 acres.
[tex]\text{165 acres}\times\frac{\text{1 km}^2}{\text{247 acres}}[/tex]
[tex]165\times\frac{\text{1 km}^2}{247}[/tex]
[tex]0.6680161943319838\text{ km}^2[/tex]
We know 1 square km equals 1000000 meters.
[tex]0.6680161943319838\text{ km}^2\times \frac{1000000\text{ m}^2}{\text{ km}^2}[/tex]
[tex]0.6680161943319838\times 1000000\text{ m}^2[/tex]
[tex]668016.1943319838\text{ m}^2[/tex]
Now, we will multiply 6 by [tex]668016.1943319838\text{ m}^2[/tex].
[tex]668016.1943319838\text{ m}^2\times \frac{\text{6 grams}}{\text{m}^2}[/tex]
[tex]668016.1943319838\times \text{6 grams}[/tex]
[tex]4008097.1659919028\text{ grams}[/tex]
[tex]4008097.1659919028\text{ grams}\times \frac{1\text{ kg}}{\text{1000 grams}}[/tex]
[tex]4008.09716599190281\text{ kg}[/tex]
[tex]4008.10\text{ kg}[/tex]
Therefore, 4008.10 kg of the soil supplement are required for the entire vineyard.
After finishing his shift, a security guard wrote 6.75 under "hours worked" on his time card. how long did he work ?
Answers
The security guard worked for 6 hours and 45 minutes, this is because 0.75 of an hour is equivalent to 45 minutes.
Explanation:In the context of this question, the security guard logged 6.75 hours on his shift. This figure is given in decimal format. To convert this into hours and minutes, you need to understand that .75 of an hour is three quarters of 60 minutes. So, 0.75 x 60 minutes is 45 minutes. Therefore, the security guard worked for 6 hours and 45 minutes.
This is equivalent to 6 hours and 45 minutes. In decimal form, 0.75 represents three-quarters of an hour, which is 45 minutes. So, he worked for 6 hours and 45 minutes.
Learn more about Time Conversion here:https://brainly.com/question/36044379
#SPJ2
Simplify (-2) ^2 + |-15| ÷ 3
Answers
4+15÷3
4+5
9
The answer is 9
-2^2=4
so now the problem look like 4 + |-15| ÷ 3
|-15|= 15 because absolute vaule just makes it positive
4+15 ÷ 3
15 ÷ 3=5
4 +5 =9
9
What is the measure of angle S?
Answers
132 + 56 + 79 + x = 360
267 + x = 360
x = 360 - 267
x = 93 <===
Grace and jack Share £140 in the ratio 3:4 work out the amout that jack gets
Answers
3 + 4 = 7 and 140 * 1/7 = £20
So jack gets 4 * 20 = £80
( Grace gets 3 * 20 = £60
The amount of money that Jack gets between the money shared is £80
What is the ratio?In mathematics, the ratio is a relation that gives a quantitative measure between two expressions in a way that tells us how A is contained in B.
Given that:
The total amount shared by Grace and Jack = £140The total ratio = 3+4 = 7The amount that Jack get is:
= (4/7) × £140
= £80
Learn more about calculating ratios here:
https://brainly.com/question/2328454
#SPJ6
Divide these polynomial a (27x 4 - 18x 3 + 9x 2) ÷ 3x
Answers
How many years difference is there between 250 ce and 250 bce?
Answers
250 ce ----> 0 ce = 250 years
0 ce ----> 250 bce = 250 years
250+250= 500 years
There are 500 years between 250 CE and 250 BCE
Years that are denoted as BCE are counted backwards until they get to 0 after which years are then denoted as CE and these ones count upwards.
This means that to find the difference between these two years, you must first count from 250 BCE to 0 and then from 0 to 250 CE.
250 BCE to zero = 250 years
Zero to 250 CE = 250 years
Then sum them up:
= 250 + 250
= 500 years
There is therefore a difference of 500 years between these two years.
Find out more at https://brainly.com/question/16352950.
3 1/4 ÷ 1 3/8
(If you don't know what (⬆) that is it is written as 3 and 1/4 divided by 1 and 3/8)
Answers
If two lines intersect, then they intersect in exactly _____.
two points
one point
one line
one plane
Answers
Answer:
The correct answer is one point.
Step-by-step explanation:
In geometry, if two lines cross each other, they will do so at an exact point.
Imagine that the lines are formed by thousands of points located next to each other, which makes us see a line, therefore if they cross, they will do so at a single point that will have a coordinate in (x, y) format.
When the two lines are on the same plane, the following situations may occur:
if they match they have an unlimited number of points in common if they are different but they have the same slope they are parallel and they do not have points in common if the above does not happen, they have a single point of intersection.Subtract your scores for questions 6,10,14, and 17 from the number 6 explain
Answers
Which point of concurrency can lie outside the triangle?
A.
incenter
B.
median
C.
orthocenter
D.
centroid
Please select the best answer from the choices provided
A
B
C
D
Answers
Giselle deposited $3500 into a savings account for which simple interest is calculated monthly. If her $3500 grew to $3514 after 1 month, what is the yearly interest rate on Giselle's account?
Answers
3514=3500(1+(1/12)r)
Solve for r
r=0.048*100=4.8%
Hope I helped :)
ALGEBRA 2/ TRIG QUESTION ATTACHED Please help ❤️❤️
Answers
sin(A) =-4/5 → sin⁻¹(- 4/5) = A → A = - 53.13
cos(B) = -5/13 → cos⁻¹ (- 5/13) = B → B = 112.62
tan (A+B) = sin(A+B)/cos(A+B) with A+B = -53.13 + 112.62 = 59.49
tan (A+B) = sin(59.49)/cos(59.49) = 0.86154/0.507688 = 1.6969.
(Answer H = 56/33 = 1.6969)
plz help 50 points i am so confused
Answers
Answer: 15
Step-by-step explanation: 6*5*4*3*2 /2*4*3*2 = 720/48 = 15
question answered by
(jacemorris04)
The button on Sam's calculator that calculates the sine of an angle is broken.
Explain how to solve for x without using the sine ratio. Round x to the nearest tenth.
Answers
0.3249 = 4/adjacent side
and adjacent side = 4/0.3249 = 12.31
Now let's apply Pythagoras to find x
4² + 12.31² = x²
16 + 151.55 = x² and x² = 167.55
Then x = √167.55 and x = 12.94 ≈ 13
Amaya's test scores in algebra 1 are 78 and 91. She has one more test left and wants to earn a B for the course, which is from 80-89 inclusive
Answers
80%.
Answer:
Amaya must get marks between 71 and 98 in order to get B grade
Step-by-step explanation:
Amaya's test scores in algebra 1 are 78 and 91.
Let she got x marks in third test
The average all the three test must be 80-89
i.e. [tex]80\leq\dfrac{78+91+x}{3}\leq 89[/tex]
Multiplying all sides by 3, we get
240≤ 78+91+x≤ 267
240≤ 169+x≤ 267
Subtracting all sides by 169, we get
71≤ x≤ 98
Hence, Amaya must get marks between 71 and 98 in order to get B grade
Which of the following numbers is irrational? a fraction with numerator negative 9 and denominator 5, a fraction with numerator square root of 5, a fraction with numerator 7 and denominator 3, square root of 9
Answers
With the other scenarios, every number is rational. All whole numbers/integers are rational. The root of 9 is 3, which is whole and rational. Negative numbers are also rational so long as they are whole/an integer. This allows for you to be able to write a fraction using only integers (or with decimals that have a finite end).
However the root of 5 goes on infinitely.
Answer:
The answer is square root of 5.
Step-by-step explanation:
Irrational numbers are those that cannot be expressed as a ratio of two integers.
And when we express these in decimal form, they have an infinite and nonrecurring expansion like the number π and the square root of 2.
The answer is square root of 5. This is because the square root of 5 will never result in a number that will be exact.
A fair coin is tossed 5 times in a row the exact probability of the coin landing heads exactly 2 times is what
Answers
Answer:
The probability is [tex]\frac{5}{16}[/tex]
Step-by-step explanation:
Given is that a fair coin is tossed 5 times in a row.
This gives total number of outcomes as = [tex]2\times2\times2\times2\times2=32[/tex]
As its needed that heads comes exactly 2 times, so favorable outcomes are = 5C2
[tex]\frac{5!}{2!(5-2)!}[/tex]
Solving this we get 10
Therefore, the probability of getting heads exactly 2 times is =
[tex]\frac{10}{32}[/tex] or
[tex]\frac{5}{16}[/tex]
Answer:
See image
Step-by-step explanation:
Plato
Allie has $20 to spend to take some friends bowling. The bowling alley rents a pair of shoes for $4 & each game costs $1 for up to & including eight players. If Allie & her friends want to play three games, how many pairs of shoes can they rent?
Answers
20 subtracted by 3 is 17.
17 divided by 4 is 4.
The number of shoes they can rent is 4.
Hope this Helps!
Which numbers should be multiplied to obtain 175^2 − 124^2?
A. 51 and 299
B. 51 and 51
C. 2601 and 2601
D. 30501 and 30749
Answers
Answer A
175²-124²=(175+124)(175-124)=299*51
The numbers that should be multiplied to obtain 175² - 124² are 51 and 299. This is due to the algebraic concept of a difference of squares.
Explanation:The mathematical expression 175² - 124² can be represented as the difference of squares. The difference of squares is a special case in algebra where a² - b² can be factored into (a + b)(a - b). So, in this case, we can represent 175² - 124² as (175 + 124)(175 - 124).
Hence, the numbers that should be multiplied in this case are 51 and 299. Therefore, the correct answer is option A: 51 and 299.
Learn more about Difference of squares here:https://brainly.com/question/53186
#SPJ12
A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day.
Answers
.help me please thannks
Answers
In 1 minute he can type 58 words, in 8 minutes he can type 8 times more:
58 x 8 = 464 words in 8 minutes
Write the standard form of the equation of the circle with the given center and radius.center (0,0), requals=11
Answers
What is the answer to this equation y=4x+8x for x
Answers
x is equal to y/12
Starting with y=4x+8x
Simplify by adding like terms (4x and 8x)
y=12x
And divide by 12 on both sides to isolate the x
[tex] \frac{y}{12} =x[/tex]
Would be your answer
~I hope this helps!~
How do you solve this equation: 3x+1/5y=7
Answers
3(2) + (1/5)5 = 7
6 + 5/5 = 7
6 + 1 = 7
7 = 7