Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?

Answers

Answer 1

Answer:360

Step-by-step explanation:g-g5

Answer 2

The rate of interest will be 0.35.

What is compound interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest formula

[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]

and, the Amount is given by

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

Where,

A is amount

P is principal

r is rate of interest

n is number of times interest is compounded per year

t is time

According to the given question

Principal, P = $210

Amount, A = $250

Time, t = 5 years

n = 1

Therefore, the interest rate is given by

Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]

⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]

⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]

⇒[tex]1.19 = (1+r)^{5}[/tex]

⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]

⇒ 1.035 = 1 + r

⇒ r = 1.035 - 1

⇒ r = 0.35

Hence, the interest rate is o.35.

Learn more about compound interest here:

https://brainly.com/question/14295570

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Related Questions

Help please!! Help me with this triangle

Answers

Answer:60°

Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.

Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).

Equilateral triangles have equal angles, meaning 60° for each angle.

The average cost for a gallon of gasoline in 2006 was $2.45. In 2007, the average cost of a gallon of gasoline was $3.29. What is the approximate percent of change in the cost of a gallon of gasoline?
A. 25%
B. 35%
C. 75%
D. 135%

Answers

Answer:B

Step-by-step explanation:

2.45(0.35)= 0.8575+2.45= 3.30

B. Because 2.45(0.35)=08575+2.45=3.30

Four friends shopped at the Sale Depot for movies. Robby went on Monday and bought three movies for $15.36. Paula went on Wednesday and bought five movies for $27.40. Trey went on Thursday and bought four movies for $20.08. Madison went on Friday and bought six movies for $31.44.

Answers

Answer: See explanation

Step-by-step explanation:

You didn't say what you want to get but I'm guessing that you want to know who had the cheapest deal or the best deal.

Robby went on Monday and bought three movies for $15.36. The cost per movie will be:

= $15.36/3

= $5.12

Paula went on Wednesday and bought five movies for $27.40. The cost per movie will be:

= $27.40/5

= $5.48

Trey went on Thursday and bought four movies for $20.08. The cost per movie will be:

= $20.08/4

= $5.02

Madison went on Friday and bought six movies for $31.44. The cost per movie will be:

= $31.44/6

= $5.24

We can see that Trey had the best deal.

A whole pizza is cut into 8 pieces and you eat 2 of the 1/8 pieces, how much (in a fraction) is left over? 3/8


4/6


2/8


6/8

Answers

Answer:

6/8 is left

Step-by-step explanation:

Hope this helps!! Can I get brainliest please??? :)

8 pieces = 8/8

8/8 - 1/8 - 1/8 = 6/8

         or

8/8 - 2/8 = 6/8

the volume of a recta

Answers

There is no graph to find the volume

3) In June a gallon of gasoline cost $2.75. In July the price increased to
$2.92. What is the percent of increase of a gallon of gasoline from June to
July? Round to the nearest tenth.

Answers

Answer:

6.2%

Step-by-step explanation:

Hard to explain, but easy. Take your new value, and subtract your initial (starting) value from the new value. In this case, it would be 2.95-2.75= 17. You now can take you difference (17) and divide it by the initial value, so 17/2.75. This gives you 6.181818182. Round to 6.2%

help i need help i really really need help no cap

Answers

5.83, 0.5, 0.085
your welcome
5.83, 0.5, 0.085 that’s the answer :)

Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.

Answers

Answer:

%11.76

Step-by-step explanation:

400/3400x100 = 11.76

density of the cube is 9.86 g/cm³ and the volume is 150cm³ work out the mass in kg

Answers

Mass= Density *Volume

9.86 g/cm3 *150 cm3 =1479g

1479 g to kilograms

1479g= x

1000g = 1 kg

x = 1479 g / 1000 x = 1.479 kg.

Please help!



Select ALL of the expressions that are equivalent to
3.5 – (4.7).
3.5+ (-4.7)
4.7 – (3.5)
-4.7 + 3.5
3.5 +4.7
3.5 - (-4.7)


Answers

Answer:

Step-by-step 16

16 x 81

plz help this is what might get m to a 100 so plz help me

Answers

Answer:

I'd say it's the first dot in from the left (close to 2.4)

Step-by-step explanation:

the square root of 6 is 2.4494, and that's very close to 2.4

answer this question​

Answers

It’s facing the left to its negative and if you count rise over run then the slope is -3 so

Correct answer is the last option
The answer is the last choice

find the area of the circle with a cirumfererference of 30pi write your solution in terms of pi

Answers

Answer:

225 pi

Step-by-step explanation:

2pi r=30pi

pi r =15pi

pi r2=225pi

225 pi

Theo earned £15400 last year and spent 6% of his money on making home improvements. Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.

Answers

Answer:

15400 ÷ 6/100

Step-by-step explanation:

next step do yourself

I hope it will help you

Help I need this now

Answers

Answer:

There is no question showing up so I dont know how to help u

Step-by-step explanation:

The cross country team practices by jogging on
the town’s streets. The average jogging rate
is 6 mi
les per hour. One member jogged for
3.5 hours one weekend. How many mi
les did
the team member jog?

Answers

21 miles because 6x3+3
21 miles because 6x3+3 I took the other persons answer lol

What is the answer to (a²)(a⁵)(a⁷)

Answers

Answer:

The answer would be a^70

Step-by-step explanation:

Hope this helped!! If it is wrong please tell me and I will re-check my answer. :)

Since there are parenthesis you just multiply the exponents and get A^70

Hope this helps


Find the slope of the line segment.

Answers

Answer:

Option 3

Step-by-step explanation:

-2/3 since the line is a total of 3 the 2 is negative which would make it the answer meaning that is the only negative option.

If Brian took the same test and received a score of 80 % how many questions did he get right? ( hint the test is out of 20 points )

Answers

Answer:

16

Explanation:

First you convert  

80

%

into a decimal which is  

.80

then you multiply it by  

20

.

.80

×

20

=

16

We multiply it by  

20

because that's our total and by  

.80

because that's the amount that we got correct. Had it been  

100

%

then that would mean we got every question right.

Step-by-step explanation:

The answer is 16. If the test is 20 questions, each question is 5 points. (100/20)

The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.

Answers

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be [tex]4\,in\,:\,5\,ft[/tex] and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ([tex]r[/tex]), measured in inches per feet, is equivalent to the following rational number:

[tex]r = \frac{4\,in}{5\,ft}[/tex]

We can convert each length by dividing it by scale factor. That is:

Length

[tex]l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }[/tex]

[tex]l' = 20\,ft[/tex]

Width

[tex]w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }[/tex]

[tex]w' = 31.25\,ft[/tex]

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Ok last question its very "hard" mods don't delete

what is 3x+12= 42

Answers

Answer:

x is 10.

Step-by-step explanation:

3x + 12 = 42

Subtract 12 from both sides

3x = 42 - 12

Subtract 12 from 42 to get 30

3x = 30

Divide both sides by 3

x = 30/3

Divide 30 by 3 to get 10

x = 10

Multiply (x – 3)(x + 5)

Answers

Answer:

x^2+2x-15 hope it helps

x^2-2x+15

I believe hope this helped !!

The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help

Answers

Answer:

Total income= $4,083.75

Step-by-step explanation:

First, we need to calculate the total number of people that enter the aquarium in the first two hours.

1st hour= 140

2nd hour= 140*1.25= 175

Total number of people= 315

Now, we can determine the total amount of money earned:

Each ticket cost 15.25.

Total income= 315*15.25

Total income= $4,083.75

Is 2/8 equivalent to 1/4

Answers

yes it is 2/8 is a non simplified version of 1/4
Yes 2/8 is equivalent to 1/4

Explanation: 2/8 ÷ 2=1/4

What is the correct factorisation of?
X^2+6x+8​

Answers

Answer:

Step-by-step explanation:

Given that: x  

2

+6x+8

                 =x  

2

+4x+2x+8,        (split middle term)

                 =(x  

2

+4x)+(2x+8),    (group pair of terms)  

                 =x(x+4)+2(x+4),         (factor each binomials)

                 =(x+4)(x+2),              (factor out common factor (x+4)

Hence factors of x  

2

+6x+8 are (x+4)(x+2)

x² + 6x + 8

= x² + 4x + 2x + 8

= x(x+4) + 2(x+4)

= (x+4)(x+2)

A music collection includes 19 ROCK CDs, 12 COUNTRY CDs, 6 CLASSICAL CDs, and 5 HIP HOP
CDs. What is the probability that a CD randomly selected from the collection IS a classical CD?

Answers

Answer:

6/42 = 1/7

Step-by-step explanation:

Divide the number of events by the number of possible outcomes.

Order -5,-7,0, and 4 from least to greatest

Answers

Answer:

-7,-5,0 and 4 is from the least to the greatest.

Answer:

-5,-7,0,4

Step-by-step explanation:

-5

-7

0

4

What is the answer?
Is it A B C or D

Answers

Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

square the 3 and times 4 and 2

In your own words what is the definition of reflection (in geometry)

Answers

Answer:

a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip

Step-by-step explanation:

What is 21 X 21 ????
3 3​

Answers

Answer: 441

Step-by-step explanation:

21 x 21 = 441

Answer:

21 times 21 is 441

Step-by-step explanation:

i used a calculator

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