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Usimov [2.4K]
2 years ago
9

The distance between a + 7i and -8 + 4i is √130 units. The positive value of a is ?

Mathematics
2 answers:
iren2701 [21]2 years ago
8 0
We have the formula \sqrt{ (a+8)^{2}+ (7-4)^2 } =  \sqrt{130} ;
Then, (a+8)^{2} + 9 = 130 \ \textless \ =\ \textgreater \   (a+8)^{2} = 121 \ \textless \ =\ \textgreater \  a + 8 = + or - 11;
;
Finally, a = 3 or a = -19; but a > 0;
a = 3.
stiv31 [10]2 years ago
8 0

Answer: the answer is = 3

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Two percent of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy c
enyata [817]

Answer:

0.95

Step-by-step explanation:

The computation of the probability that a customer neither buys beer nor buys cigars is given below;

Given that, the probabilities are

The customers who purchased cigars be 0.02

The customers who purchased cigars + beer 0.50

And, the customers who purchased beer + cigars be 0.25

Now the probabilities where the customer purchased both

= 0.05 × 0.02

= 0.10

The probability where the customer purchased beer is

= 0.01 ÷ 0.25

= 0.04

Now the probability where a customer neither buys beer nor buys cigars is

= 1 - 0.02 + 0.04 - 0.01

= 0.95

4 0
2 years ago
Consider the following equation, bh+hr=25 when solving for r
Komok [63]
Solve for r.

You want to get r by itself on one side on the equal sign.

bh + hr = 25

Subtract bh from both sides.

hr = 25 - bh

Divide h on both sides.

r = 25 - bh / h

The two h's cancel each other out.

r = 25 - b

Hope this helps!
4 0
2 years ago
Read 2 more answers
What is the solution set of the quadratic inequality 6x^2+1 greater than or equal to 0?
Ratling [72]

Answer:

C

Step-by-step explanation:

6x^2 + 1 <= 0

6x^2 <= -1

x^2 <= -1/6

Since we cannot take the square root of a negative number, there is no solution.

7 0
2 years ago
Juan buys 2.8 pounds of turkey. The turkey costs $4.55 for each pound. How much does Juan spend for the turkey?
nadya68 [22]

Answer:12.75

Step-by-step explanation:

2.8X4.55

4 0
2 years ago
Read 2 more answers
Ill give a tip
e-lub [12.9K]
Divide the APR by 360 days and multiply it by 30 days to get the monthly interest. Each loan is usually secured by the car you bought. So we will use the secured APR.

8. Average rating secured apr: 5.85% divide by 360 multiply by 30:  0.4875% monthly rate
Cost of car: 19,725 ; sales tax: 4.75% ; down payment: 2,175

19,725 x 1.0475 =  20,661.94 - 2,175 = 18,486.94 loan amount
18,486.94 x 0.4875% = 90.12 accrued interest for the 1st month.

9. Excellent rating secured apr: 4.80% divide by 360 multiply by 30: 0.40% monthly rate
Cost of car: 15,867 ; sales tax: 5.25% ; down payment: 10% of total cost

15,867 x 1.0525 =  16,700.02 x 90% = 15,030.02 the principal balance at the start of the loan.

10. Fair rating secured apr: 7% divide by 360 multiply by 30: 0.5833% monthly rate
Cost of new car: 19,072 ; sales tax: 4.5% ; down payment: 1,200
Cost of used car: 15,365; sales tax: 4.5% ; down payment: 1,200

19,072 x 1.045 = 19,930.24 - 1,200 = 18,730.24
18,730.24 x 0.5833% = 109.25 accrued interest

15,365 x 1.045 = 16,056.43 - 1,200 = 14,856.43
14,856.43 x 0.5833% = 86.66 accrued interest

109.25 - 86.66 = 22.59 is the difference in interest accrued by the end of the first month.
7 0
2 years ago
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