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Flauer [41]
3 years ago
10

Jim and Gail invested a total of $3,600 in a stock, in a ratio of 5:7. The stock made $6,450 on top of the initial capital. If t

he payoff is done in the same ratio, how much does Gail get?
Mathematics
2 answers:
Ket [755]3 years ago
7 0

"Since the ratio is 5:7 you can think in total there was 12 equal blocks of money invested. 5 of those blocks belonged to Jim and 7 of those blocks belonged to Gail. Since they invested $3,600 and then made $6,450 in total there is $10,050. Divide that total into 12 equal blocks of $837.50 and 5 of those blocks belong to Jim. So he will get $4,187.50"

Fudgin [204]3 years ago
4 0

Answer:

$5,862.50

Step-by-step explanation:

USA testprep said it was right

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Use the Addition Formula for Cosine to prove the Double-Angle Formula for Cosine. cos(2x) = cos2(x) − sin2(x) Rewrite 2x as x +
andre [41]

Answer with Step-by-step explanation:

We are given that

LHS

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By using

cosx\cdot cosx=cos^2 x

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LHS=RHS

Hence, proved.

3 0
3 years ago
Solve for x. 10 = − 2/3 x A) −6 B) −9 C) −15 D) −18
Allisa [31]

Answer:

x=-10/23

Step-by-step explanation:

-23x=10

x=10/-23

x=-10/23

6 0
3 years ago
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Amanda [17]
3180 because you divide 31800 by 10
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3 years ago
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I can’t figure out how to use the zeros in the polynomial. Please explain
Temka [501]

Answer:

a) P (x) = (x + 3) (x-1) (x-4)

b) P (x) = (2x + 5) (5x - 4) (x-6)

c) P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

P (x) = (x + 3) (x-1) (x-4)

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0

---------------------------------------

x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0

--------------------------------------

x = 6\\\\(x-6) = 0

--------------------------------------

P (x) = (2x + 5) (5x - 4) (x-6)

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

x = -3\\\\(x-3) = 0

--------------------------------------

x = 1\\\\(x-1) = 0

--------------------------------------

x = 4\\\\(x-4) = 0

----------------------------------------

x = -1\\\\(x + 1) = 0

-----------------------------------------

P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

8 0
3 years ago
The cities Cleveland, Ohio; Erie, Pennsylvania; and Rochester, New York, in respective order, lie approximately in a straight li
Ann [662]

Answer:

  Erie to Rochester is 145 miles

Step-by-step explanation:

If we designate the points of interest as C, E, and R, we are told that ...

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For CE = 94 and CR = 239, we can fill in the given information and solve for ER.

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  ER = 239 -94 . . . . . . subtract 94 from both sides of the equation

  ER = 145

The distance from Erie to Rochester is 145 miles.

7 0
3 years ago
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