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Rama09 [41]
2 years ago
14

If Jessica has money into savings accounts worry is 5% in the other is 10% if she has $950 more in the 10% account and the total

interest is 281 how much invested is in each savings account
Mathematics
1 answer:
Lelu [443]2 years ago
8 0

Answer:

5% account = $1,240

10% account = $2,190

Step-by-step explanation:

Let's assume the amount of savings in the 5% account is x.

Thus the amount of savings in the 10% account is (x + $950).

We can write the following equation from the interest amount:

[5% x ] + [10% (x + $950)] = $281

5%x + 10%x + $95 = S281

15%x = $186

x = $1,240

There is $1,240 in the 5% account

Therefore, on the 10% account there is $1,240 + $950 = $2,190

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His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gro
Strike441 [17]

Malcom Davis earnings is an illustration of equations and proportions.

  • The equation is: \mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}
  • The gross income must be $300000, for Dave to earn the same amount with either plan.
  • His earning is $3333.33 when the plans are the same.

Let the profit be P, and the gross income be G.

So, we have:

\mathbf{P= G - 100000}

<u>(a) The equations</u>

For plan A, we have:

<em />\mathbf{A = \frac{1}{90}G}<em> ----1/90 of the company's gross income</em>

For plan B, we have:

<em />\mathbf{B = \frac{1}{60}P}<em>  ----1/90 of the company's profit</em>

When both are the same, we have:

\mathbf{A= B}

This gives

\mathbf{\frac{1}{90}G= \frac{1}{60}P}

Substitute \mathbf{P= G - 100000}

\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}

Hence, the equation is: \mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}

<u>(b) Solve the equation in (a), and intepret</u>

\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}

Cross multiply

\mathbf{60G = 90G - 9000 000}

Collect like terms

\mathbf{90G - 60G = 9000 000}

\mathbf{30G = 9000 000}

Divide both sides by 30

\mathbf{G = 3000 00}

The gross income must be $300000, for Dave to earn the same amount with either plan.

<u>(c) His earnings based on (c)</u>

We have:

\mathbf{A = \frac{1}{90}G}

Substitute \mathbf{G = 3000 00}

\mathbf{A = \frac{1}{90} \times 300000}

\mathbf{A = 3333.33}

His earning is $3333.33 when the plans are the same

<u>(d) If the gross income in less than (b)</u>

If the gross income is <em>less than $300,000</em>, then plan A would better for Malcom Davis, because his earnings in plan A would be <em>greater than </em>plan B

Read more about equations at:

brainly.com/question/20893366

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3 years ago
3/10 of the students in art class are painting with watercolors. 1/2 of the students are painting with oil paints. What fraction
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