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3 years ago

Teresa is 25 years old, and she makes $30,000 per year. If Teresa were to die,

Mathematics

1 answer:

REY [17]3 years ago

3 0

Answer:

They would receive $22,500 which is 75% of her income

Step-by-step explanation:

Here, we want to know how much the beneficiaries of a life insurance scheme would receive if their principal die.

From the question, we are told that they have the right to claim 75% of her income

From the question also, we were told that what she earns per annum is $30,000

Now, since they have the right to claim 75%, the amount they can claim out of the said income will be;

75/100 * $30,000 = $22,500

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Condense the following logs into a single log:

mamaluj [8]

QUESTION 1

The given logarithm is

$8\log_g(x)+5\log_g(y)$

We apply the power rule of logarithms; $n\log_a(m)=\log_(m^n)$

$=\log_g(x^8)+\log_g(y^5)$

We now apply the product rule of logarithm;

$\log_a(m)+\log_a(n)=\log_a(mn)$

$=\log_g(x^8y^5)$

QUESTION 2

The given logarithm is

$8\log_5(x)+\frac{3}{4}\log_5(y)-5\log_5(z)$

We apply the power rule of logarithm to get;

$=\log_5(x^8)+\log_5(y^{\frac{3}{4}})-\log_5(z^5)$

We apply the product to obtain;

$=\log_5(x^8\times y^{\frac{3}{4}})-\log_5(z^5)$

We apply the quotient rule; $\log_a(m)-\log_a(n)=\log_a(\frac{m}{n} )$

$=\log_5(\frac{x^8\times y^{\frac{3}{4}}}{z^5})$

$=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})$

7 0

2 years ago

Find the surface area of the prism. HELP IT DUe in 10 mins so I will mark you as brainly if you answer correctly

Lyrx [107]

Answer:

answer: 740

Step-by-step explanation:

Hope that helps!

3 0

2 years ago

Use compatible numbers to estimate the quotient. 635÷9

gayaneshka [121]

Here, 635/9
Nearest divisible of 9 is 630 so,
It would be: 70 * 9 + 5

In short, Your Quotient would be 70

Hope this helps!

6 0

2 years ago

Eight times a sum of a number is 5

nata0808 [166]

Answer:

Step-by-step explanation:

So 8 times what is 5?

8 times x=5

x=0.625

4 0

2 years ago

Which is the equation of the parabola?

mestny [16]

Answer:

y = -1/20(x + 3)²

Step-by-step explanation:

<u>Consider the parent function:</u>

y = x²

The graph of the function open up and the vertex is at the origin, the point (0, 0)

Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:

y = -x²

The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:

y = -(x + 3)²

<u>Since all the options have 1/20 as a coefficient, our function is:</u>

y = -1/20(x + 3)²

This is option B

6 0

2 years ago