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2 years ago

C.) of a total of $10,000, part was invested at 10% simple interest and the remainder at

Mathematics

1 answer:

nlexa [21]2 years ago

4 0

Answer:

$3,500 at 10% and $6,500 at 7%.

Step-by-step explanation:

M * 10% + (10000 - M) * 7% = 805

0.1M + 700 - 0.07M = 805

0.03M = 105

M = 3500

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(23.01) In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided 58 health

Paul [167]

Answer:

$113.7-2.154\frac{9.1}{\sqrt{29}}=110.06$

$113.7+2.154\frac{9.1}{\sqrt{29}}=117.34$

And the 96% confidence is given by (110.06; 117.34)

Step-by-step explanation:

Information given

$\bar X=113.7$ represent the sample mean

$\mu$ population mean (variable of interest)

s=9.1 represent the sample standard deviation

n=29 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=29-1=28$

The Confidence is 0.96 or 96%, the significance is $\alpha=0.04$ and $\alpha/2 =0.02$ , and the critical value would be $t_{\alpha/2}=2.154$

Replacing the info we got:

$113.7-2.154\frac{9.1}{\sqrt{29}}=110.06$

$113.7+2.154\frac{9.1}{\sqrt{29}}=117.34$

And the 96% confidence is given by (110.06; 117.34)

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3 years ago

A dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 12-inch pieces can t

Tems11 [23]

Answer:

so the question is very interesting and the answer is 12 × 15 so the answer is 180 rolls of ribbons

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The components of vector are given as follows: ax = +6.1 ay = -8.6 the angle measured counterclockwise from the x-axis to vector

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The tangent of the angle is

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3 years ago

Lerato receive an increase of 5% on her current salary of R12500 per month. What will her new salary be after the increase

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$12,500 + $625 = $13,125.

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3 years ago