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IgorC [24]
3 years ago
7

Timothy deposited $2,780.20 in a savings account that earns 4.3% simple interest. What will Timothy’s account balance be in 7 mo

nths?
Mathematics
2 answers:
KiRa [710]3 years ago
8 0
<span>$1,401.95 should be the answer. Enjoy! </span>
jeka943 years ago
4 0
 i look it up before puting the answer

$1,401.95 should be the answer
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A piecewise function is shown below
Greeley [361]

Answer:

p = 5/7

Step-by-step explanation:

The given function is:

g(x) = -3x^{2} - 2x + 8 for -4 ≦ x < 1

g(x) = -2x + 7p for 1 ≦ x ≦ 5

Part a)

A continuous function has no breaks, jumps or holes in it. So, in order for g(x) to be continuous, the point where g(x) stops during the first interval -4 ≦ x < 1 must be equal to the point where g(x) starts in the second interval 1 ≦ x ≦ 5

The point where, g(x) stops during the first interval is at x = 1, which will be:

-3(1)^{2}-2(1)+8=3

The point where g(x) starts during the second interval is:

-2(1)+7(p) = 7p - 2

For the function to be continuous, these two points must be equal. Setting them equal, we get:

3 = 7p - 2

3 + 2 = 7p

p = \frac{5}{7}

Thus the value of p for which g(x) will be continuous is \frac{5}{7}.

Part b)

We have to find p by setting the two pieces equal to each other. So, we get the equation as:

-3x^{2}-2x+8=-2x+7p\\\\ -3x^{2}+8=7p

Substituting the point identified in part (a) i.e. x=1, we get:

-3(1)^{2}+8=7p\\\\ 5=7p\\\\ p=\frac{5}{7}

This value agrees with the answer found in previous part.

8 0
3 years ago
Write the number equal to 5 tens and 13 ones.
choli [55]
I would probaly have to say $63
4 0
3 years ago
Read 2 more answers
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
AfilCa [17]
Kinda late, but do you have the area of the triangle?
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3 years ago
If y varies directly as the x^2 and y = 200 when x = 5, what is the value of y when x = -3?
gayaneshka [121]
As the variation is direct we have:
 y = kx ^ 2&#10;
 We must find the value of k.
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 y = 200 when x = 5
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 200 = k5 ^ 2&#10;
 Clearing k:
 k = 200/5 ^ 2&#10;&#10;k = 200/25&#10;&#10;k = 8
 Then, the function is:
 y = 8x ^ 2&#10;
 We evaluate the function for x = -3
 y = 8 (-3) ^ 2&#10;&#10;y = 8 (9)&#10;&#10;y = 72
 Answer:
 the value of y when x = -3 is:
 c.
 
72
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3 years ago
PLEASE HELP ASAP<br> I'LL MARK BRAINIEST
IRINA_888 [86]

Answer:

A. 2.35

Step-by-step explanation:

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