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Andrej [43]
3 years ago
10

Don invests $12,000 into an account that pays 8.25% simple interest. How much interest does his account earn after 4 years?

Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

$3960

Step-by-step explanation:

Given parameters:

Principal = $12,000

Simple interest  = 8.25%

Time  = 4yrs

Unknown:

Interest earned  = ?

Solution:

To solve this problem, we have to use the simple interest formula shown below:

 Simple interest  = \frac{PRT}{100}

P is the principal

R is the rate

T is the time

Now insert the parameters and solve;

  Simple interest  = \frac{12000 x 8.25 x 4}{100}   = $3960

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A new car sells for $30,000. The value of the car decreases by 16% annually. After how many years will the car be worth less tha
DIA [1.3K]

Answer: after 6 years.

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the car after t years.

t represents the number of years.

P represents the initial value of the car.

r represents rate at which the value is decreasing.

From the information given,

P = 3000

A = < 10000

r = 16% = 16/100 = 0.16

Therefore

10000 = 30000(1 - 0.16)^ t

1000/30000 = (0.84)^t

0.333 = (0.84)^t

Taking log of both sides to base 10

Log 0.333 = log0.84^t = tlog0.84

- 0.4772 = t × - 0.0757

t = - 0.4772/ - 0.0757 = 6.3 years

8 0
3 years ago
If each playlist is an average of 45 minutes long the linear function m(x) = 0.75x could be used to find out how many playlist y
Art [367]

Answer:

3 hours

Step-by-step explanation:

0.75*4 = 3.00

45*4=180     180/60=3    180 minutes =3 hours

5 0
3 years ago
Can someone please help me
WITCHER [35]

Answer:

if I am correct the answer should be 2

4 0
2 years ago
PLEASE SOLVE AND SHOW WORK Find the equation of the line that passes through the points (-1,-5) and (-7,-6) in slope intercept f
Lynna [10]
The way that you find this problem is to first find the slope, and then input one of your points into your equation to find b.
The slope-intercept form of a line is: y=mx+b, where m is the slope and b is the y-intercept.

To find the slope, you must use the following equation:
\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this equation, this would be equivalent to:\frac{-6-(-5)}{-7-(-1)} which, when simplified, is \frac{1}{6}. This is your slope.

To find the Y-intercept, you just plug all variables that you currently have solved for into the equation. You may use either point for the x and y variables, but you must use \frac{1}{6} for the m term.

-6 = (\frac{1}{6})(-7) + b leads to -6 = \frac{-7}{6} +b which leads to \frac{-29}{6} = b. You have now solved for the y-intercept and aare ready to form your final equation.

The final equation is:y=\frac{1}{6}x -\frac{29}{6}
4 0
3 years ago
The two triangles are similar. Determine the values of x, y, and z.
insens350 [35]

Answer:

y= 20 m

x= 15 m

z= 22 degree

Step-by-step explanation:

15+x=30 m

x=30-15

x= 15 m

z-18=40

z= 40-18

z= 22m

8 0
2 years ago
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