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kirill115 [55]
3 years ago
8

Using the formula for simple interest and the given values, find I. P= $300; r = 8%; t= 6 years; I = ? 1=$0 TrueCar Enter your a

nswer in the answer box. Prerequisite Skills Test for Finite Mathematics noncer of the heart bypass. Learn more Customize Getting Ready for Finite Mathematics Test A
Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

Answer: $144

Step-by-step explanation:

The formula to calculate the simple interest is given by :-

\text{S.I.}=Prt

Here, P - Principal amount, r - rate of interest and t is time (Generally in years).

Given :  P= $300; r = 8%=0.08 ; t= 6 years

Now, the using the above simple interest formula , we have

\text{I}=300\times0.08\times6\\\\\Rightarrow\ \text{I}=\$\ 144

Therefore , the simple interest = $ 144.

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Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph
Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

y=-\frac{7}{4}x+4

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

y_1=mx+b

And the second one, that is perpedicular to the one above:

y_2=nx+c

The slope of the second one is the negative inverse of the first one:

n=-\frac{1}{m}

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

y-y_1=m(x-x_1)

replace with the coordinates of the point and the slope and calculate:

\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}

Subtract 7 to both sides of the equation to write it in slope-intercept form:

\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}

Now you can graph both lines

8 0
1 year ago
A woman bought 70 Cubes
KatRina [158]

Answer:

56 Sugar cubes

Step-by-step explanation:

75 x .25 = 18.75

75 - 18.75 = 56.25

Round down for the closest answer = 56

8 0
3 years ago
Hannah ran 200 feet during recess. Juanita ran 350 feet during recess. In yards, how much further did Juanita run than Hannah?
ss7ja [257]

Juanita ran 240 feet than Hannah

8 0
2 years ago
10x + 4y = 24 6x +12y = 48 What is the value of y? * <br>A. 7 <br>B. 7/2 <br>C. 1 <br>D. -7/2​
ziro4ka [17]

Answer:

B

Step-by-step explanation:

1) lets use elimination to solve this:

multiply 10x+4y=24 with 3 in order to get "4y" into "12y"

3(10x+4y=24)

30x+12y=72

now subtract both equations to eliminate 'y"

30x+12y=72

-

6x+12y=48

---------------------

24x=24

x=1

now substitute 1 in the above equation:

6(1)+12y=48

6+12y=48

12y=42

y=7/2

4 0
3 years ago
Alberta Doan worked 6 hours at time-and-a-half pay and 3 ¼ hours at double-time pay. Her regular pay rate was $9.72 an hour. Wha
natka813 [3]

Answer:

Alberta's total overtime pay of the week was $ 145.80.

Step-by-step explanation:

Given that Alberta worked 6 hours at time-and-a-half pay, and 3 hours at double-time pay, and that the value of her regular work hour is $ 9.72, to determine the value of the pay of his overtime, the following equation must be performed:

6x1.5x9.72 + 3x2x9.72 = X

9x9.72 + 6x9.72 = X

87.48 + 58.32 = X

145.8 = X

Therefore, Alberta's total overtime pay of the week was $ 145.80.

3 0
3 years ago
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