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RUDIKE [14]
3 years ago
13

If a savings account of $48,900 is compounded annually at 19.1% annual interest, how much will the account be worth in 53 months

? Round your answer to the nearest cent. Note: 360 days in a year and 30 days in a month.
Mathematics
1 answer:
ankoles [38]3 years ago
4 0
Interest rate i=19.1% compounded annually.
Initial deposit, P=48900
Time t=53 months=53/12 years

Use compound interest formula
Future value,
F=P(1+i)^(t)=48900(1+0.191)^(53/12)
=  $105,824.40  (to the nearest cent)
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A person invests $1000 in a bank. The bank pays 6% interest compounded monthly. To the nearest tenth of a year, how long must th
liraira [26]

Answer:

18 years, 4 months and 10 days.

Step-by-step explanation:

Given that the person invests $ 1000 in an account with compound interest each month, with an interest rate of 6%, to determine how long the investment must maintain to reach $ 3,000, the following calculation must be performed:

3,000 = 1,000 (1 + 0.06 / 12) ^ Yx12

3,000 = 1,000 (1 + 0.06 / 12) ^ 18.36x12

3,000 = 3,000

Therefore, the person must keep his investment for a period of 18.36 years. Since 12 x 0.36 is equal to 4.32, the total investment time should be 18 years, 4 months and 10 days.

8 0
3 years ago
EMERGENCYYYY TEST CLOSES SOON AND IM BARELY DONE!!!!!please do part 1 and 2
irakobra [83]

Answer:

Part A: Options D and E

Part B: Disagree

Step-by-step explanation:

Part A:

From the graph attached,

Option A

The object is launched from the ground.

False.

Since, the object is launched from the 5 feet above the ground.

Option B

The flight is symmetric about the line t = 10

False.

Since, the flight is symmetric about the line t = 12

Option C

The object reaches a maximum height of 12 feet.

False.

At t = 12 seconds maximum height of the object = 19.4 feet

Option D

The object is flying in the air during the interval 0 < t < 25.93

True.

Option E

The object reaches its maximum height after 12 seconds of flight.

True.

After 12 seconds object is at the maximum height 19.4 feet.

Therefore, Options D and E are the correct options.

Part B:

From the table attached,

h(4) = 13

h(20) = 13

At t = 4 and 13 seconds height of the object is same.

h(4) = h(20)

But Timothy said h(4) < h(20)

Therefore, disagree with the statement of Timothy.

3 0
3 years ago
Trail Teamwork My daughter needs help with Math Chapter 8 Performance Task on dividing fractions. Can you help her??
Tomtit [17]
The rule for dividing fractions is "invert and multiply." What you invert is the denominator fraction.

Example: (1/3) / (4/5) = (1/3)×(5/4) . . . . . the denominator 4/5 has been inverted to 5/4 and is now a multiplier.

All the rest of the rules for fractions are unaltered--conversion from mixed numbers to improper fractions, addition and subtraction--they're all the same.
8 0
3 years ago
A costume designer is preparing costumes for 22 dancers . She pays 373.78 for all of the materials. She also buys gloves for all
Zolol [24]

Answer:

  $21.29 per dancer

Step-by-step explanation:

The materials cost $373.78 for all 22 dancers, so the cost per dancer is ...

  $373.78 / 22 = $16.99

Adding the $4.30 cost of gloves to that brings the total for each dancer to ...

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8 0
3 years ago
Factor: 10x^3-35x^2-12x+42<br><br> I'll give brainliest :) but please show all work.
alexandr402 [8]

Answer:

\left(2x-7\right)\left(5x^2-6\right)

Explanation:

\hookrightarrow\sf 10x^3-35x^2-12x+42

using associative property, separate

\hookrightarrow\sf \left(10x^3-35x^2\right)+\left(-12x+42\right)

take common term, factorise

\hookrightarrow\sf 5x^2\left(2x-7\right)-6\left(2x-7\right)

final answer

\hookrightarrow\sf \left(2x-7\right)\left(5x^2-6\right)

5 0
2 years ago
Read 2 more answers
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