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SVEN [57.7K]
2 years ago
8

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)

5 0
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

8 0
3 years ago
What is greater one inch or one centimeter
maria [59]
One inch is greater than one centimeter
5 0
3 years ago
Read 2 more answers
The components of vector are given as follows: ax = +6.1 ay = -8.6 the angle measured counterclockwise from the x-axis to vector
r-ruslan [8.4K]

The tangent of the angle is

... tan(α) = ay/ax = -8.6/6.1

Then the angle (measured CCW from +x) is

... α = arctan(-86/61) ≈ 305°

8 0
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
Romashka [77]
$12,500 x 5% = $625.
$12,500 + $625 = $13,125.
5 0
3 years ago
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