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Nataly [62]
4 years ago
13

How do you dilate a figure on a coordinate plane if you want to make the shape larger? How would your steps change if you want t

o make the image smaller?
Mathematics
1 answer:
Papessa [141]4 years ago
3 0
If u want to make the shape larger, u will have to multiply it by the scale factor that is greater then 1.

if u want to make the shape smaller, then u will multiply by the scale factor that is between 0 and 1

if the scale factor is 1, then the shapes are congruent
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2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account
Studentka2010 [4]

The formula for compound interest is:

\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}

Given data:

\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}

a. After ten years, that is t = 10 years, the amount in the account will be

\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}

b. After twenty years, that is t = 20 years, the amount in the account will be:

\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}

c. The time it takes for Harry's initial account value to double will be:

\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}

Therefore, the time it takes Harry's initial account to double is approximately 11 years

8 0
1 year ago
The value of 32cos85° is
erma4kov [3.2K]
2.78 or 3 is the value
3 0
3 years ago
Read 2 more answers
Mrs. Kemp began the school year with 20 students in her kindergarten class. She had 23 students at the end of the year. What was
Liula [17]
First, we’re going to use this formula:

2nd number - 1st number
————————————— x 100%
1st number


If we plug in the numbers to this equation:

23-20
———- x 100%
20

And subtract 23 to 20, the answer to this equation is:

3
—- x 100% = 15%
20

In this case, the percent of increase is 15%.
3 0
3 years ago
Football fields are 360 ft in length and 160 ft in width. Find the area
rjkz [21]

Answer:

57600cm^2

Step-by-step explanation:

To find the area, you do length * width. In this case, you do 360 * 160. The output will then be 57600cm^2

7 0
3 years ago
Read 2 more answers
Question 11
Anarel [89]

Answer:

the trainee calculated the incorrect amount

It should be 0.5 mL

Step-by-step explanation:

The physician orders penicillin 500,000 units for a patient while the concentration of the drug you have is 1,000,000 units/ 1mL. It's clear that 1mL drug is too much for the patient since 1,000,000 units are higher than 500,000 units.  

The amount of penicillin in 1.5 mL will be definitely higher than 1,000,000 units, so it must be a lot higher than the physician's orders. We can roughly guess that the trainee draws an incorrect amount.

To calculate the exact volume you need, you have to divide the amount of the drug you need with the concentration of the drug. The calculation will be:

the volume needed = amount of the drug you need/ concentration of the drug

volume needed =  500,000 units / (1,000,000 units/ 1mL)= 1/2 mL = 0.5 mL

8 0
3 years ago
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