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2 years ago

1. Ms. Cedric bought a jar for 25 dimes. If she had 75

Mathematics

1 answer:

exis [7]2 years ago

5 0

Nickles - dimes
0.05 x 75 - 0.10 x 25
$3.75 - $2.50
$1.25

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Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 3 1/2 years, she had earned $36.40

N76 [4]

Answer:

$1,792

Step-by-step explanation:

3 1/2×36.40=116.48

116.48÷6.5%=1,792

$1,792

5 0

3 years ago

confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the poin

yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

<u><em>The complete question is</em></u>

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

A(60,900),B(15,450)

Remember that

$m_A_B=m_B_A$

step 1

Find $m_A_B$

substitute in the formula

$m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10$

step 2

Find $m_B_A$

substitute in the formula

$m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10$

therefore

Ernest's calculation was correct, because $m_A_B=m_B_A$

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

$m=\frac{800-300}{50-0}$

$m=\frac{500}{50}$

$m=10$

therefore

Ernest's calculation was correct

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Answer:

The circumference of a circle is c=3.14r

Step-by-step explanation:

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