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Aliun [14]
3 years ago
6

Write the following expression in exponential form: In x = 47

Mathematics
1 answer:
lana [24]3 years ago
5 0
E^47=x is the answer.
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William wants to keep his debt-to-income ratio at the recommended 15% orlower William's house payment is
3241004551 [841]

9514 1404 393

Answer:

  about $171,400

Step-by-step explanation:

William's total monthly debt is ...

  $1012.84 +579.13 +250 +300 = 2141.97

On an annual basis, this is ...

  12 × $2141.97 = $25,703.64

This will be 15% of (25703.64/0.15) = $171,357.60.

William's new annual salary should be about $171,400 to keep his debt ratio at the recommended 15%.

_____

<em>Additional comment</em>

A debt ratio of 15% is a pretty aggressive target. Most mortgage lenders like to see the "front end" ratio (housing expense) less than 28%, and the "back end" ratio (all debt) less than 36%.

4 0
3 years ago
A cylindrical tank that holds 375 L of water is completely full. A pump removes water at a rate of 0.6 L/s. For how many minutes
Misha Larkins [42]
375L-240L=135L
135÷0.6=81
The pump must work for 81 min or 1hr and 21 min until the tank reaches 240L
6 0
3 years ago
What symbol should be placed in the blank to make the equation true? 17 ___ 5 × 3 = 32 A) + B) − C) ÷ D) ×
Elza [17]

Answer:

+

Step-by-step explanation:

17-5=12×3 and that would be 36 so thats wrong

17÷5×3 would give you a decimal

17x5x3 would be to big of a number

so the only answer would be A if you caculate it.

7 0
4 years ago
A gardener plants two types of trees in a park:
slega [8]

Answer:

8 years

Step-by-step explanation:

Lets write an equation for Type A

The initial value is 5 ft  and the slope 12 inches

We need to have the same units, so lets change 5 ft to inches

5 ft * 12 inches / ft = 60 inches

y = mx+b

y = 12 x + 60

Lets write an equation for Type B

The initial value is 3 ft  and the slope 15 inches

We need to have the same units, so lets change 3 ft to inches

3 ft * 12 inches / ft = 36 inches

y = mx+b

y = 15 x + 36

We want to know when y is the same value.  We can set the equations equal.

12x + 60 = 15x+36

Subtract 12 x from each side

12x-12x+60 = 15x-12x +36

60 =3x+36

Subtract 36 from each side

60-36 = 3x+36-36

24 = 3x

Divide each side by 3

24/3 = 3x/3

8 =x

It will take 8 years for the trees to be the same height

7 0
3 years ago
If z varies directly as y and inversely as the square root of x, by how much should x be increased so that z is kept constant wh
Norma-Jean [14]

Answer:

32.25%

Step-by-step explanation:

The equation of variation is z = ky/√x

When y is increased by 15%, we have value of y = 1.15y.

To keep z constant √x must = 1.15 so x must be 1.15^2 = 1.3225.

Therefore x must be increased by 0.3225 or 32.25%.

5 0
3 years ago
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