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dlinn [17]
3 years ago
9

Find the missing value of x and y.

Mathematics
1 answer:
scoray [572]3 years ago
4 0

Step-by-step explanation:

tan 60 = 21 ÷ y

1.73 = 21 ÷ y

y = 21 ÷ 1.73

y = 12.14

tan 30 = x÷ 12

0.6 x 12 = x

x = 7.2

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Maria has recently retired and requested an extra ​$444.00 per year in income. She has $ 5400 to invest in an​ A-rated bond that
Dimas [21]

Answer:

$2400 in A rated bond and $3000 in B rated bond.

Step-by-step explanation:

We have been given that Maria has recently retired and requested an extra ​$444.00 per year in income.

We can represent this information in an equation as:

A+B=5400...(1)

She has $5400 to invest in an​ A-rated bond that pays 10% per annum or a​ B-rated bond paying 6% per annum.

0.10A+0.06B=444...(2)

From equation (1), we will get:

A=5400-B

Substitute this value in equation (2):

0.10(5400-B)+0.06B=444

540-0.10B+0.06B=444

540-0.04B=444

540-540-0.04B=444-540

-0.04B=-96

\frac{-0.04B}{-0.04}=\frac{-96}{-0.04}

A=2400

Therefore, Maria should invest $2400 in A-rated bond.

Substitute A=2400 in equation (1):

2400+B=5400

2400-2400+B=5400-2400

B=3,000

Therefore, Maria should invest $3000 in B-rated bond.

6 0
3 years ago
HELP THIS IS DUE IN 5 MINUETS!!!!!!!!!! YOU DON'T HAVE TO EXPLAIN THE ANSWER Since it's Wednesday, Buy for Less gives a 5% disco
Alex777 [14]
The answer would be 10                                     

4 0
4 years ago
Read 2 more answers
4/ 5 ÷ 5/4 will give you<br><br> 1<br> 16/25<br> 1 whole 9 / 25
vova2212 [387]

Answer:

16/25

Step-by-step explanation:

first do keep change flip

4/5 × 4/5

16/25

6 0
3 years ago
Read 2 more answers
What is the area of the shaded sector?<br><br> 32<br> 85<br> 96<br> 256
Crazy boy [7]

Answer: The measure of central angle XYZ is 3pi/4 radians.

The answer is 96.

7 0
3 years ago
Bridal Solutions, which sells European wedding dresses, has the following weekly
earnstyle [38]

Answer:

Step-by-step explanation:

Given the weekly revenue and cost function

R(d) = 12000

C (d) = 350d + 5000

A firm break even point occurs when the amount of revenue is equal to the cost.

If the company Bridal solution breaks even then C(d) = R(d)

350d + 5000 = 12000

350d = 12000 - 5000

350d = 7000

divide both sides by 350

350d/350 = 7000/350

d = 20

Hence the total number of wedding dressing to be sold by Bridal Solutions for them to break even is 20 dresses.

3 0
3 years ago
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