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spin [16.1K]
2 years ago
8

Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-2, -7)}(−2,−7)start color #6495ed, left parenthesis, minu

s, 2, comma, minus, 7, right parenthesis, end color #6495ed and point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is at \purple{(2.5, -1.5)}(2.5,−1.5)start color #9d38bd, left parenthesis, 2, point, 5, comma, minus, 1, point, 5, right parenthesis, end color #9d38bd.
Point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point \blue{A}Astart color #6495ed, A, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b.

What are the coordinates of point \green{B}Bstart color #28ae7b, B, end color #28ae7b?
Mathematics
1 answer:
Lina20 [59]2 years ago
3 0

Answer:

(7,4)

Step-by-step explanation:

The midpoint formula is expressed as:

M(X, Y) = {(x2+x1)/2, (y2+y1)/2

Given the coordinates of the midpoint

M(2.5, -1.5)

Endpoint A(-2, -7)

Required

Endpoint B

From the formula;

X = x2+x1/2

Given

X = 2.5, x1 = -2

Get x2

2.5 = -2+x2/2

5 = -2+x2

x2 = 5+2

x2 = 7

Also

Y = y2+y1/2

-1.5 = -7+y2/2

-3 =-7+y2

y2 = -3+7

y2 = 4

Hence the coordinate of the endpoint B (x2,y2) is (7,4)

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Jones of Boston borrowed $40,000, on a 90-day 10% note. After 60 days, Jones made an initial payment of $6,000. On day 80, Jones
MaRussiya [10]

Answer:

$34,666.67

Step-by-step explanation:

Step 1: Calculate the interest for 60 days.

(40000*60/360 )* 0.10 = $666.67

Step 2: Amount = Principal + Interest = $40,000 + 666.67 = $40,666.67

Step 3 : After 60 days, he paid $6000.

Remaining balance of the first payment = 40666.67 - 6000 = $34,666.67

Thank you.

8 0
1 year ago
oint Q is plotted on the coordinate grid. Point P is at (40, −20). Point R is vertically above point Q. It is at the same distan
JulsSmile [24]

Answer:

The Awnser Is C

Step-by-step explanation:

Hope This Helps! Have A Great Day

8 0
1 year ago
Read 2 more answers
If the parabola of the form y = a(x – h)2 + k is always shifted horizontally h units and vertically k units, then its vertex is
Marta_Voda [28]
The parabola defined by
y = a(x - h)² + k
has its vertex at (h,k).

After a shift by h units right, followed by a shift of k units vertically, the parabola is defined by
y = a(x - 2h)² + 2k
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Answer: The vertex gets shifted by h units horizontally and k units vertically.
8 0
2 years ago
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suppose you could make a single "lump sum" deposit of $3679, in an investment that provides an annual percentage rate(apr) of 4%
yaroslaw [1]

Answer:

\$5,698.30  

Step-by-step explanation:

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  (future value)

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=11\ years\\ P=\$3,679\\ r=4\%=4/100=0.04\\n=365  

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3 0
2 years ago
Julia owes her dad $12.she wants a new blouse that just went on sale,do she borrow $20 from her sister.she pays her father $5 an
myrzilka [38]
the complete question is
<span>Julia owes her dad $12. She wants a new blouse that just went on sale, so she borrows $20 from her sister. She pays her father $5 and spends the rest on the blouse. Which statement is true?
A.<span> Julia’s money status is $8 because she started at –$12 and borrowed $20.
B.</span> Julia’s money status is –$7 because she started at –$12, got $20, but only paid $5 of her debt.<span>
C.</span> Julia’s money status is –$27 because she started at –$12, borrowed $20, but paid off $5.<span>
D.</span> Julia’s money status is –$32 because she began at –$12 and borrowed $20.

we know that
</span>Julia owes her dad $12 already and again she borrowed $20 from her sister
So,
total debt = $12+$20=$ 32.
And,
she paid $5 only to her father.
So,
Her money status is
 -32+5 = -$27 

the answer is the option 
C. Julia’s money status is –$27 because she started at –$12, borrowed $20, but paid off $5.
4 0
2 years ago
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