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Svetradugi [14.3K]

3 years ago

14

Mathew knows the he will need to buy a new car in 4 years. The car will cost 15,00 by the. How much should he invest now at 10%,

compound quarterly so that he will have enough to buy a new car

1 answer:

aleksley [76]3 years ago

4 0

Answer:

$1010.44

Step-by-step explanation:

1500 = X(1 + 0.1/4)¹⁶

X = 1500/(1.025¹⁶)

X = $1010.4374

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Help !! Please I can’t find the answer

SVETLANKA909090 [29]

Answer:

$\large\boxed{r^2=(x+5)^2+(y-4)^2}$

Step-by-step explanation:

The equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

<em>(h, k)</em><em> - center</em>

<em>r</em><em> - radius</em>

<em />

We have diameter endpoints.

Half the length of the diameter is the length of the radius.

The center of the diameter is the center of the circle.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the given points (-8, 2) and (-2, 6):

$d=\sqrt{(6-2)^2+(-2-(-8))^2}=\sqrt{4^2+6^2}=\sqrt{16+36}=\sqrt{52}$

The radius:

$r=\dfrac{d}{2}\to r=\dfrac{\sqrt{52}}{2}$

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$x=\dfrac{-8+(-2)}{2}=\dfrac{-10}{2}=-5\\\\y=\dfrac{2+6}{2}=\dfrac{8}{2}=4$

$(-5,\ 4)\to h=-5,\ k=4$

Finally:

$(x-(-5))^2+(y-4)^2=\left(\dfrac{\sqrt{52}}{2}\right)^2\\\\(x+5)^2+(y-4)^2=\dfrac{52}{4}\\\\(x+5)^2+(y-4)^2=13$

5 0

3 years ago

Which equation represents a linear function?

GuDViN [60]

The answer is y-5 = x-20

3 0

3 years ago

Match the conditional statement p→q, the converse q→p, the inverse ~p→~q, and the contrapositive ~q→~p in words.

Yuri [45]

For the text answers:

conditional - If 2 lines are supplementary then the measure of the angles sum is 180

converse - If the measure if the angle sum is 180 then the 2 lines are supplementary

inverse - If 2 lines are not supplementary then the measure if the angle sum is not 180

contrapositive - If the measure if the angle sum is not 180 then 2 lines are not supplementary.

answer to the picture one:

conditional - If you do all your math homework then you will do well on the test.

converse - If you do well on the test then you do all your math homework

inverse - If you do not do all your math homework then you will not do well on the test.

contrapositive - If you do not well on the test then you did not do all your math homework

5 0

3 years ago

kifflom [539]

Answer:

about 28

Step-by-step explanation:

7 0

3 years ago

WILL MARK BRAINLIEST! Bill is in a class of 15 boys and 35 girls. 40% of the students in the class take the bus to school. How m

Studentka2010 [4]

Answer:

30 students

Step-by-step explanation:

all students = girls+boys

all students= 15+35=50

40% of 50= 20

50-20=30

30 students didn't take the bus to school

4 0

3 years ago

Read 2 more answers