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kozerog [31]
2 years ago
15

Emily gast deposits $50,000 in a 4-year cd that earns interest at an annual rate of 5.25% compounded daily. (a) find the amount

of the cd in 4-years. (b) find the interest earned in 4-years

Mathematics
2 answers:
xz_007 [3.2K]2 years ago
6 0

Answer:

a) $61,607.75

b) 11.607.75

Step-by-step explanation:

Kindly check attached picture for detailed calculation

Tasya [4]2 years ago
5 0

Answer:

A.) $61682.97

B.) $11,682.97

Step-by-step explanation:

Initial deposit (A) = $50000

Period(t) = 4 years

Interest(r) = 5.25% annually,

n = number of times interest is compounded

Amount of the CD in four years :

Compound interest formula :

A = final amount

A = P(1 + r/n) ^nt

A = $50,000( 1 + (0.0525/365))^365×4

A = $50,000( 1 + 0.00014383562)^1460

A = $50,000(1.00014383562)^1460

A = $50,000(1.23365943637930)

A = $61682.9718189651

B.) Interest = $61682.97 - $50,000

Interest = $11,682.97

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Answer: y=4x-7

Step-by-step explanation:

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2 years ago
Data is collected to compare two different types of batteries. We measure the time to failure of 12 batteries of each type. Batt
-Dominant- [34]

Using the t-distribution, it is found that since the <u>test statistic is greater than the critical value for the right-tailed test</u>, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

At the null hypothesis, it is <u>tested if it does not outlast by more than 2 hours</u>, that is, the subtraction is not more than 2:

H_0: \mu_B - mu_A \leq 2

At the alternative hypothesis, it is <u>tested if it outlasts by more than 2 hours</u>, that is:

H_1: \mu_B - \mu_A > 2

  • The sample means are: \mu_A = 8.65, \mu_B = 11.23
  • The standard deviations for the samples are s_A = s_B = 0.67

Hence, the standard errors are:

s_{Ea} = S_{Eb} = \frac{0.67}{\sqrt{12}} = 0.1934

The distribution of the difference has <u>mean and standard deviation</u> given by:

\overline{x} = \mu_B - \mu_A = 11.23 - 8.65 = 2.58

s = \sqrt{s_{Ea}^2 + s_{Eb}^2} = \sqrt{0.1934^2 + 0.1934^2} = 0.2735

The test statistic is given by:

t = \frac{\overline{x} - \mu}{s}

In which \mu = 2 is the value tested at the hypothesis.

Hence:

t = \frac{\overline{x} - \mu}{s}

t = \frac{2.58 - 2}{0.2735}

t = 2.12

The critical value for a <u>right-tailed test</u>, as we are testing if the subtraction is greater than a value, with a <u>0.05 significance level</u> and 12 + 12 - 2 = <u>22 df</u> is given by t^{\ast} = 1.71

Since the <u>test statistic is greater than the critical value for the right-tailed test</u>, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

A similar problem is given at brainly.com/question/13873630

7 0
2 years ago
Please help <br><br> It’s due tonight
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Answer: 18 units long

Step-by-step explanation:

In the diagram, it looks like line segment AW is 6 units long and WB is 12 units long. Because of parts-whole postulate (the whole is equal to the sum of its parts), you can add AW and WB's lengths together. 6 + 12 = 18, so the length of line segment AB is 18 units long.

5 0
3 years ago
What is the volume of this rectangular prism?
Fynjy0 [20]

Answer: V≈5.21 cm³

Step-by-step explanation:

To find the volume of a rectangular prism, you multiply the length, width and height.

V=wlh

Since we were given the length, width and height, we can directly multiply them together.

V=\frac{5}{2} *\frac{5}{3} *\frac{5}{4}             [multiply]

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7 0
3 years ago
The third day Jim plans to snow board. The boards rent for $8.95 an hour, and the boots
olganol [36]

Answer: $113.55

Step-by-step explanation:

add up the cost of the lesson, boots, board, and ticket

the lesson costs $33.80 and the ticket costs $25, these cover the whole day so no need to be multiplied. the boots cost $2 and the board costs $8.95 each hour, jim will need to pay the cost of both 5 times for 5 hours.

here is the equation to solve

33.80 + 5(8.95 + 2.00) + 25 =

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the total cost is $113.55

4 0
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