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In-s [12.5K]
2 years ago
9

9. Gohan has $5000 to invest. He puts part in a savings

Mathematics
1 answer:
nata0808 [166]2 years ago
3 0

Answer:

$4000 at 6%

$1000 at 8%

Step-by-step explanation:

let 'x' = portion of principle

let '5000-x' = another portion of principle

.06(5000-x) + .08(x) = 320

distribute .06 to get:

300 - .06x + .08x = 320

subtract 300 from each side:

-.06x + .08x = 20

.02x = 20

x = 20/.02

x = 1000

5000 - x = 1000

x = 4000

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If you add two negative integers, what will the sign on the sum be? Explain.
KengaRu [80]

Answer:

Negative

Step-by-step explanation:

If both are negative, they can't grow when you add them. If I owe someone 3 dollars, then I owe them 3 more, I don't owe them 0, I owe them 6. The equation would be My amount of money-3-3

4 0
3 years ago
Please help solve this system of equations
stepan [7]

Make a substitution:

\begin{cases}u=2x+y\\v=2x-y\end{cases}

Then the system becomes

\begin{cases}\dfrac{2\sqrt[3]{u}}{u-v}+\dfrac{2\sqrt[3]{u}}{u+v}=\dfrac{81}{182}\\\\\dfrac{2\sqrt[3]{v}}{u-v}-\dfrac{2\sqrt[3]{v}}{u+v}=\dfrac1{182}\end{cases}

Simplifying the equations gives

\begin{cases}\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81}{182}\\\\\dfrac{4\sqrt[3]{v^4}}{u^2-v^2}=\dfrac1{182}\end{cases}

which is to say,

\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81\times4\sqrt[3]{v^4}}{u^2-v^2}

\implies\sqrt[3]{\left(\dfrac uv\right)^4}=81

\implies\dfrac uv=\pm27

\implies u=\pm27v

Substituting this into the new system gives

\dfrac{4\sqrt[3]{v^4}}{(\pm27v)^2-v^2}=\dfrac1{182}\implies\dfrac1{v^2}=1\implies v=\pm1

\implies u=\pm27

Then

\begin{cases}x=\dfrac{u+v}4\\\\y=\dfrac{u-v}2}\end{cases}\implies x=\pm7,y=\pm13

(meaning two solutions are (7, 13) and (-7, -13))

8 0
2 years ago
the total is 30 coins and 3 dollars. there are twice as many nickles as dimes. how many nickles and dimes and there
beks73 [17]

Answer:

20 nickels and 10 dimes.

8 0
3 years ago
Read 2 more answers
Adding mixed numbers. Can someone help me correct my answer?
Olin [163]

Answer:

27 13/60

Step-by-step explanation:

What you have tried to do is not an impossible way to do it. What you could do is set your fractions and whole numbers like this.

( 7 + 1/10) * (3 + 5/6) I don't know if you know what FOIL is, but that is the way to proceed.

  • First: (meaning the first in each factor ).   3 * 7 =                                    21
  • Outside: (meaning the two terms near outside the brackets) 7 * 5/6 = 5 5/6
  • Inside: The two terms closest to the * sign      1 / 10  *3 =                         3/10
  • Last: The two end terms    (1/10 * 5/6 = 5/60                                              5/60

Now you can add. 21 + 5 is the whole number amount = 26

Add the fractions

  • 5/6 + 3/10 + 5/60 The lowest common multiple is 60
  • 50/60 + 18/60 +5/60 = 73 / 60 = 1 and 13/60

Add that to 26 and you get 27 13/60

3 0
3 years ago
The sum of a number 9 is multiplied by -2 and the answer is -8 <br><br>find the number.
GalinKa [24]
<h3><u>The missing number is equal to -5.</u></h3>

-2(x + 9)  = -8

<em><u>Distributive property.</u></em>

-2x - 18 = -8

<em><u>Add 18 to both sides.</u></em>

-2x = 10

<em><u>Divide both sides by -2.</u></em>

x = -5

8 0
3 years ago
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