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tangare [24]
3 years ago
10

Mateo, a 31-year-old nonsmoker ($5.50), wants to purchase $100,000 in coverage for himself and $75,000 for his spouse, who is fe

male, 30 years old, and does not smoke ($3.50). What will the insurance premium be?
A. $30.50
B. $32.50
C. $35.50
D. $36.00
Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer: B. $32.50

Step-by-step explanation:

The premiums listed in brackets are for every $25,000 of coverage.

Mateo wants a $100,000 coverage so we need to divide this by $25,000 to see how much more he will have to pay:

= 100,000 / 25,000

= 4

Mateo will have to pay 4 times the $5.50 for himself:

= 4 * 5.50

= $22.00

For his spouse who requires $75,000, he will have to pay:

= 75,000 / 25,000

= 3

= 3 * 3.50

= $10.50

Total Mateo is to pay for both his spouse and himself is:

= 22 + 10.5

= $32.50

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Flura [38]

6/8 = p/12= tan∅

so p= 9

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4 0
3 years ago
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90 POINTS!!!!! Given: KLIJ inscr. in k(O),m∠K = 64°, measure of arc LI = 69°, measure of arc IJ = 59°, measure of arc KJ =97°
Kay [80]

In any cyclic quadrilateral, angles opposite one another are supplementary, meaning

m\angle K+m\angle I=m\angle L+m\angle J=180^\circ

and given that \boxed{m\angle K=64^\circ}, we have \boxed{m\angle I=116^\circ}.

By the inscribed angle theorem,

m\angle JLK=\dfrac12m\widehat{KJ}

m\angle ILJ=\dfrac12m\widehat{IJ}

and since

m\angle L=m\angle JLK+m\angle ILJ

we have

m\angle L=\dfrac{97^\circ+59^\circ}2\implies\boxed{m\angle L=78^\circ}

and it follows that

m\angle J=180^\circ-m\angle L\implies\boxed{m\angle J=102^\circ}

5 0
3 years ago
Carl has three lengths of cable, 5/6 yard long, 1/4 yard long, and 2/3 yard long. If he uses 1 yard of cable, how much cable is
Dafna1 [17]
He would have 9/12 yards left over because you have to create a common denominator which would be 12. so for 5/6 you would multiply by 2 so you have 10/12. 1/4 you have to multiply by 3 so you get 3/12. and 2/3 you have to multiply by 4 so you get 8/12. then you add them 10/12+3/12+8/12 = 21/12 which simplifies to 1 9/12 and because he used 1 yard he is left with 9/12.
final answer: 9/12 yards
3 0
3 years ago
13 1/10-7 9/10<br><br> i need help
a_sh-v [17]

Answer:

52/ 10 = 5 2/10 or 5 1/5

Step-by-step explanation:

first turn the mixed fractions into improper fraction

13 1/10= 131/10

7 9/10= 79/10

since the two fractions already have a common denominator just subtract

131 - 79 = 52

52/ 10 = 5 2/10 or 5 1/5

4 0
3 years ago
Read 2 more answers
Translate then Solve for the variable:
Sergeu [11.5K]

The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Translate then Solve for the variable:

The sum of two times a number and 10 is five times the difference between a number and six.

Let the number be x.

Then the equation will be

2x + 10 = 5(x - 6)

Then the value of x will be

2x + 10 = 5x - 60

5x - 2x = 60 + 10

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        x = 23.33

More about the linear system link is given below.

brainly.com/question/20379472

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8 0
2 years ago
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