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sweet-ann [11.9K]
4 years ago
13

Triangle ABC has vertices A(−4, 3) , B(2, 3) , and C(−5, 1) . A dilation with a scale factor of 5 and center at the origin is ap

plied to this triangle.
What are the coordinates of C′C′ in the dilated image?

C′ has a coordinate pair of (
,
)
Mathematics
1 answer:
inna [77]4 years ago
5 0
The coordinates of C'C' is (-25, 5) and all you have to do is multiply each point by 5.
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A person invests 9000 dollars in a bank. The bank pays 6% interest compounded monthly. To the nearest tenth of a year, how long
il63 [147K]

Answer:

7.4\ years  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment 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=?\ years\\ P=\$9,000\\ r=0.06\\n=12\\ A=\$14,000  

substitute in the formula above  

14,000=9,000(1+\frac{0.06}{12})^{12t}  

(14/9)=(1.005)^{12t}  

Apply log both sides

log(14/9)=(12t)log(1.005)  

t=log(14/9)/[(12)log(1.005)]  

t=7.4\ years  

3 0
4 years ago
g natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that natasha i
Papessa [141]

Answer:

<h2>3,654 different ways.</h2>

Step-by-step explanation:

If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).

Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.

29C3 = 29!/(29-3)!3!

29C3 = 29!/(26!)!3!

29C3 = 29*28*27*26!/26!3*2

29C3 = 29*28*27/6

29C3 = 3,654 different ways.

This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders

5 0
3 years ago
The length of a rectangle is twice it’s width. If the area of the rectangle is 162m ^2,find its perimeter
GalinKa [24]

Answer:

{ \tt{area = length \times width}} \\ { \tt{162 = 2w \times w}} \\ { \tt{162 = 2 {w}^{2} }} \\ { \tt{ {w}^{2}  = 81}} \\ { \tt{w = 9}}

  • width, w = 9 m
  • length, l = 2 × 9 = 18 m

{ \tt{perimeter = 2(l + w)}} \\ { \tt{p = 2(18 + 9)}} \\ { \tt{p = 2 \times 27}} \\  \\ { \underline{ \tt{ \:  \: perimeter = 54 \: m \:  \: }}}

6 0
3 years ago
Read 2 more answers
On Monday, ALL the Grade 7 students either bought their lunch at the canteen or brought their lunch from home. Given that 20% of
fenix001 [56]

Answer:

145

.8x = 116 (80% of class is 116)

x=145

Step-by-step explanation:

7 0
3 years ago
At a frisbee-throwing competition, one contestant threw a frisbee 113.47 meters.
raketka [301]

Answer:

113 meters

Step-by-step explanation:

113.47 rounded to the nearest meter is 113.

8 0
3 years ago
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