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nevsk [136]
3 years ago
15

Rebecca deposited $5,338.18 into a savings account with an interest rate of 5.9% compounded twice a year. About how long will it

take for the account to be worth $10,000?
15 years, 11 months
32 years, 5 months
10 years, 10 months
11 years, 0 months
Mathematics
1 answer:
MariettaO [177]3 years ago
8 0
Given:
P = $5338.18, principal
r = 5.9% = 0.059, interest rate
n = 2, nuber of compoundings per year
t =  duraton, years
A = $10,000, target value.

Use the formula
P(1 +  \frac{r}{n})^{nt} = A

That is,
5338.18(1 +  \frac{0.59}{2})^{2t} =10000\\1.0295^{2t}=1.8773
t =  \frac{1}{2} ( \frac{ln(1.8773)}{ln(1.0295)} )=10.832\, yrs\,=10yrs,\,10\,mo

Answer: 10years, 10 months


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Nezavi [6.7K]

Answer:

The average spent at his store is of $37.60.

The average spent at his competitor's store is of $48.53.

Step-by-step explanation:

Average of a data set:

The mean of a data set is the sum of all values divided by the number of values.

His store:

15 orders.

Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50

The average is:

M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6

The average spent at his store is of $37.60.

Store of the competitor:

15 orders

Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69

The average is:

M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53

The average spent at his competitor's store is of $48.53.

8 0
3 years ago
An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?
Zigmanuir [339]

Answer:

Polygon is pentagon

Step-by-step explanation:

In a regular polygon each angle is equal.

In a regular polygon Each angle of polygon is given by (2n-4)90/n

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given

An interior angle of a regular polygon has a measure of 108°.

(2n-4)90/n = 108

=> 180n - 360 = 108n

=> 180n-108n= 360

=> 72n = 360

=> n = 360/72 = 5

Thus, polygon has 5 sides

and we know that regular polygon which has 5 sides is called pentagon.

Thus, Polygon is pentagon

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Answer:

A ). 12

Step-by-step explanation:

4 0
3 years ago
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Please help, I'll mark brainliest.
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I'm almost certain it's C :)
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12 beats are played in 30 seconds

You would have to divide

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