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3 years ago

7

Adam takes a loan of $8,250 at a 7% simple rate for 5 years. How much will be paid after 3 years? how much interest will be paid

in total for the loan?

1 answer:

Diano4ka-milaya [45]3 years ago

6 0

$4,950 will be paid after 3 years.
$577.50 will be paid as interest for the total loan.

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City health officials will conduct a two-sample t-test for a difference in means to investigate whether

Anvisha [2.4K]

Answer:

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

<u><em>Step(ii):-</em></u>

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

where

$S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }$

$S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2} }{22 +15-2 }$

S² = 637.1428

S = √637.1428 = 25.24168

The standard deviation of the sample 'S' = 25.24168

<u><em>Step(iii):-</em></u>

<u><em>Null Hypothesis:H₀:</em></u>

There is no difference between the means

<u><em>Alternative Hypothesis:H₁:</em></u>

There is a difference between the means

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }$

t = 2.366

Degrees of freedom

γ = n₁+n₂ -2 = 22+15-2 = 35

t₀.₀₅ = 2.0301

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

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Answer:

y = -0.078 x² + 8.407 x − 92.892

Step-by-step explanation:

Use a calculator or spreadsheet to find the least squares regression equation.

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Area of rectangle = 6 x 6 = 36 centimeters squared

Area of triangle = 1/2 x 6 x 6 = 18 centimeters squared

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Frank is going to plant c vegetable seeds in one garden and 2c + 1 vegetable seeds in another. How

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Answer 3c seeds.

Step-by-step explanation:

just add it up :)

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2 years ago

A graph of a linear function intersects the coordinate axes in points (–5, 0) and (0, 11). What is the equation of this function

Pani-rosa [81]

We know that
the <span>linear function is a line
let
A </span><span>(–5, 0)
B </span><span>(0, 11)

step 1
find the slope m
m=(y2-y1)/(x2-x1)----> m=</span>(11-0)/(0+5)------> m=11/5

step 2
y=mx+b
we know the y intercept
for x=0
y=11
so
b=11
y=(11/5)x+11

the answer is
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see the attached figure

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