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Alecsey [184]
3 years ago
11

State whether the function (x) = 150 (1.09)x is growing or decaying and find the rate.

Mathematics
1 answer:
ahrayia [7]3 years ago
6 0
It is growing at a rate of 9%.

The exponential equation is in the form

f(x) = a*(1+r)ˣ, where a is the initial value, r is the growth rate written as a decimal number, and x is the number of time periods.  1.09 is in the place of 1+r; this means r = 0.09 or 9%.  Since we have a number greater than 1, it is increasing.
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Evaluate each expression. Name the property used in each step.
IRINA_888 [86]

1. (1 / 5)5 * 14 = 14 because 1/5 multplied by 5 is equal to 1. I believe this is called reciprocals.

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3. 5 (14 - 5) + 6 (3 + 7) = 5(14) - 5(5) + 6(3) + 6(7) = 70 - 25 + 18 + 42 = 105. We also used the distributive property in this question.

4 0
3 years ago
The Halloways are taking a trip to Maine. Mr. Halloway knows that it is about 885 miles to their destination in Maine from their
natita [175]

Answer:

Number of hours= 13.61 hours

Step-by-step explanation:

Giving the following information:

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Number of hours= total miles / miles per hour

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7 0
3 years ago
Given: BCDF is a parallelogram; AB = BF<br> Prove: angleA=angleE
Katen [24]

Answer:

Step-by-step explanation:

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→ BC ║ QP →→Given

In Δ ABC and ΔAPQ

∠ABC=∠APQ→→[BC ║ QP , BP is a transversal, so corresponding angles are equal]

∠BAC=∠PAQ→→Reflex angle

Δ ABC ~ ΔAPQ→→(AA similarity criterion]

When triangles are similar, their corresponding angles are equal.

AC=CQ=10 cm, shows that point C is mid point of AQ.

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3 years ago
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Goshia [24]
Step 1: Multiply the Principal, which is the amount borrowed, by the interest rate.

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Hope this helps u

6 0
3 years ago
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