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Burka [1]
2 years ago
12

Clarence has $90 in a savings account that earns 10% annually. The interest is not

Mathematics
1 answer:
bearhunter [10]2 years ago
8 0

Answer:

132 dollars I think

Step-by-step explanation:

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The sum of two numbers is 20. One number is 4 less than the other. Find the numbers
exis [7]

Answer:8 and 12

Step-by-step explanation: 8 is 4 less than 12 and 12 and 8 equals 20

6 0
2 years ago
What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5
jeyben [28]

Answer:

\displaystyle c = \frac{20}{3}

Step-by-step explanation:

According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one <em>c</em> within (a, b) such that f'(c) = 0.

We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a <em>c</em> in (5, 8) such that g'(c) = 0.

So, differentiate the function. We can take the derivative of both sides with respect to <em>x: </em>

<em />\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right]<em />

Differentiate:

g'(x) = -21x^2+182x-280

Let g'(x) = 0:

0 = -21x^2+182x-280

Solve for <em>x</em>. First, divide everything by negative seven:

0=3x^2-26x+40

Factor:

<h3>0=(x-2)(3x-20)</h3>

Zero Product Property:

x-2=0 \text{ or } 3x-20=0

Solve for each case. Hence:

\displaystyle x=2 \text{ or } x = \frac{20}{3}

Since the first solution is not within our interval, we can ignore it.

Therefore:

\displaystyle c = \frac{20}{3}

3 0
3 years ago
What is the y intercept of this graph of this graph
kompoz [17]

Answer:

i cant entirely see the image well, but the<u> y intercept</u> should be the line that passes through the line on the graph that goes <u>up and down</u>

<u>Step-by-step explanation:</u>

i hope this helps :))

8 0
2 years ago
5) Bianca bought a baseplate of 12 inches length and 10 inches width. Find the area on
shepuryov [24]

Answer:

The area of the base plate is 120 in

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!​
natulia [17]

Answer:

x = 4

Step-by-step explanation:

∆ABC ~ ∆DEF

--> AB/DE = BC/EF

--> x / 3 = 8 / 6

--> x / 3 = 4 / 3

--> x = 4

7 0
3 years ago
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