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puteri [66]
3 years ago
5

M(1, 7) is the midpoint of PQ¯¯¯¯¯ . The coordinates of point P are (−8, 3) .

Mathematics
1 answer:
Volgvan3 years ago
6 0
X-8/2=1
x-8=2
x=10
y+3/2=7
y+3=14
y=11
Q (10,11)
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An account grows at an annual interest rate of r⁡​ ⁣, so it grows by a factor of x=1+r⁡​ ⁣⁣ ​⁡ each year. The function A(x)=800x
Paladinen [302]

Given:

Annual interest rate = r⁡​%

Growth factor : x = 1 + r⁡​

The below function gives the amount in the account after 4 years when the growth factor is x⁡​ ⁣⁣.

A(x)=800x^4+350x^3+500x^2+600x

To find:

The total amount in the account if the interest rate for the account is 3% each year and initial amount.

Solution:

Rate of interest = 3% = 0.03

Growth factor : x = 1 + ⁡0.03 = 1.03

We have,

A(x)=800x^4+350x^3+500x^2+600x

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.

A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)

A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609
)+618

A(1.03)=900.407048+382.45445+530.45+618

A(1.03)=2431.311498


A(1.03)\approx 2431.31


Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.

For initial amount the rate of interest is 0.

Growth factor : x = 1 + ⁡0 = 1

Substitute x=0 in the given function to find the initial amount.

A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)

A(1)=800+350+500+600

A(1)=2250

Therefore, 2250 was put into the account at the beginning.

3 0
2 years ago
Answer to 0.08x+(x-200)
kari74 [83]
0.08x+(x-200)
(0.08x)(x+-200)
(0.08x)(x)(0.08x)(-200)
= 0.08x^2-16x
3 0
3 years ago
Pls help I’ll give brainiest to whoever helps
Gre4nikov [31]

Answer:

K'(-3,-2) and A'(-2,5)

Step-by-step explanation:

180 degree rotation = (x,y)---(-x, -y)

hence, if k=(3,2)

then k' = (-3, -2)

90 degree rotation clockwise= (x,y)--(y,-x)

hence if, A=(-5 , -2)

then, A'= (-2, 5)

7 0
3 years ago
Can someone please solve this​
Svetradugi [14.3K]

Answer:

The answer is the 3rd one.

Step-by-step explanation:

3 times 3 is 9

4 times 4 is 16

13 is in between those 2 numbers

4 0
2 years ago
Read 2 more answers
In 2013 the Los Angeles Dodgers opening
kogti [31]

Answer: 1.92 x 10^8

Step-by-step explanation:

3 0
3 years ago
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