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devlian [24]
3 years ago
14

find the final balance in an account with $660 invested at 3.5% annual simple interest for five years.

Mathematics
1 answer:
Kisachek [45]3 years ago
3 0
The equation for simple interest is:
A=P(1+rt)
Where:
A=amount
P=principal amount
r=rate as a decimal
t=time
So:
660(1+(0.035×5))=$775.50
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Omar rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 78 cents for each mile dr
natulia [17]
165.63-$18.99= $146.64

$146.64 / .78€ per mi= 188miles

188 miles is your answer
6 0
3 years ago
HELPPPPP NEEDED FIRST GETS BRAINLLEST !!!! Your dad is designing a new garden for your backyard. He has 26 feet of fencing to go
barxatty [35]

Answer:

D

Step-by-step explanation:

Let's call the width of the yard x and the length x + 3½. Since we know that perimeter = 2 * (width + length) and that the perimeter must be 26 we can write:

2 * (x + x + 3½) = 26

x + x + 3½ = 13

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8 0
3 years ago
Please help with the questions in the image
iren2701 [21]

Step-by-step explanation:

This seems to be calculus 1.

<u>Question a</u>

We have -2x^3 + 5x^2 + 9

m = slope = derivative

Find the derivative / slope of -2x^3 + 5x^2 + 9

We do this by differentiating the polynomials. There are a few methods to do this but I am going to use the power rule, which we multiply the constant by the exponent on the variable and subtract one from the exponent.

\frac{d}{dx}(-2x^3 + 5x^2 + 9)

-6x^2 + 10x

m = -6x^2 + 10x when x = a

<em>Now that we have this information, we can answer question b</em>

<u>Question b</u>

<u>The tangent line for Point (1, 12)</u>

First find the slope by using our derivative.

m = -6x^2 + 10x

m = -6(1)^2 + 10(1)

m = -6 + 10x

m = 4

Now that we have our slope, use point slope form to find our tangent line

y - 12 = 4(x - 1)

y(x) = 4x + 8


<u>Now lets do the same for the Point (2, 13)</u>

Find the slope at the point.

m = -6x^2 + 10x

m = -6(2)^2 + 10(2)

m = -24 + 10

m = -4

Now find the tangent line using point slope form of a line.

y(x) - 13 = -4(x - 2)

y(x) = -4x + 21


Now graph the lines, which I have done and you can see by viewing the image I have attached.


6 0
3 years ago
What is the measure of z?
Zolol [24]

Answer:

137

Step-by-step explanation:

A straight line is 180 so take 180 and subtract 43  

3 0
3 years ago
A rectangular playground is 65m long and 30 m wide. A pathway of 1.5 m width goes all around, outside it. Find the area of the p
BabaBlast [244]

Answer:

97.5 m^2

Step-by-step explanation:

Given data

Length = 65m

Width= 30m

We are told that the width of the path= 1.5m

Hence the area of the path is

=65*1.5

=97.5 m^2

4 0
3 years ago
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