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ELEN [110]
3 years ago
13

An amount of 1,500.00 is deposited in a bank paying an annual interest rate of 4.3% compounded quarterly. What is the balance af

ter 6 years?
Mathematics
1 answer:
defon3 years ago
8 0

First, multiply the 1,500 by 4.3% to come up with $64.50 every three months (the question says compounded quarterly).

$64.50 x 4(quarters in a year) = $258.00 per year

$258.00 x 6 years = $1,548.00

$1,500.00 + $1,548.00 = $3,048.00 balance after six years


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What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points \left (x_{1},y_{1} \right ) and \left (x_{2},y_{2}\right )

Since from the graph the two points closest to the line are\left ( 10,36 \right ) and \left ( 22,12 \right ).

Equation of line with two points closest to the line :

                                                    y-y_{1}=m\cdot \left ( x-x_{1} \right )

where m is the slope.

First we find the slope(m)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  

m=\frac{12-36}{22-10}

on simplify we get,  m=-2.

Now, to find  the equation of the line:  y-y_{1}=m\cdot \left ( x-x_{1} \right )

y-36=\left ( -2 \right )\cdot \left ( x-10 \right )

Apply distributive property on right hand side, we get

y-36=-2\cdot x+20

Adding both sides by 36, we get

y=-2x+20+36

y=-2x+56.

The equation for the linear  model in the scatter plot obtained by the two closest point \left ( 10,36 \right ) and \left ( 22,12 \right ) closest to the line is,

y=-2x+56










7 0
3 years ago
Read 2 more answers
find an equation in slope intercept form of a line that passes through the point 2.2 and has a slope m is equal 0 also sketch th
Goshia [24]
Y = mx+b (slope intercept form). I imagine the point is (2,2) and m = 0. So the answer is y = 2. A sketch would be a horizontal line on the x-y plane going through (2,2).
6 0
3 years ago
Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get t
mina [271]

Answer:

Valentina and Laura finished the same total number of shirts in 4 hours.

Total number of shirts finished by Valentina =23

Total number of shirts finished by Laura =23

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in t hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina =2t+15

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura =3t+11

Therefore,

2t+15=3t+11\\3t-2t=15-11\\t=4

So,

Valentina and Laura finished the same total number of shirts in 4 hours.

Total number of shirts finished by Valentina =2(4)+15=8+15=23

Total number of shirts finished by Laura =3(4)+11=12+11=23

6 0
3 years ago
Which ordered pair is a solution of the equation?<br> y = -6x+1
alekssr [168]

Answer:

2,-11

Step-by-step explanation:

create an x/y table and plug in #s for ordered pairs

-6x + 1 = y [plug in 2 for x]

-12 + 1 = -11 [ordered pair is 2, -11]

7 0
3 years ago
Read 2 more answers
Write the expressions "Four times the difference of a number and 1 is equal to six times the sum of the number and three. Find t
DochEvi [55]

Answer:

4(x - 1) = 6(x + 3)

x = -11

Step-by-step explanation:

x represents “the number” so we would substitute this with a variable.

(I hope this helps! Have a great day AND STAN BTS)

8 0
3 years ago
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