I need help with B and C

Part A picture above

-BARSIC- [3]

Answer:

Part A C = (10,5) Part B C. D'(0,10)

Step-by-step explanation:

Part A

Since c is at the point (2,1) in relation to the origin, we can multiply those distances by our scale factor of 5

(2,1) * 5 = (10,5)

The new point C is going to be (10,5)

Part B

If you dilate with a factor of 5 -- relative to the origin -- you have to multiply the distance from the origin by 5.

In this case, point D is already on the y axis, so it's x value wouldn't be affected. Point D is currently 2 units away from (0,0), so we can multiply 2*5 to get 10 -- our ending point is (0,10)

8 0

3 years ago

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. 1 choice: P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

2 choice: P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

3 years ago

Read 2 more answers

Find the unit rate. 48 cupcakes in 6 boxes=cupcakes per box

natka813 [3]

Answer: 8 cupcakes per box

Step-by-step explanation: "Per box" means in 1 box, so we can rewrite the given statement using fractions as

48 cupcakes/6 boxes = __ cupcakes/1 box.

To find out what goes in the blank, notice that we

have a 1 in the denominator of our second fraction.

So we want to find a fraction that is equivalent

to 48/6 that has a 1 in the denominator.

If we divide the numerator and denominator of 48/6 by 6,

we get the equivalent fraction 8/1 or 8 cupcakes/1 box.

So now we have 8 cupcakes/1 box = __cupcakes/1 box.

So an 8 must go in the blank which means that the unit rate

for 48 cupcakes in 6 boxes is 8 cupcakes per box.

6 0

3 years ago

Read 2 more answers

HELP! I don’t understandddd.

RUDIKE [14]

Answer:

A. The tree starts at 0 and increases by 1 every year. The height starts at 5 and increases by 1 every year.

Step-by-step explanation: 5 for the first year, 6 for the second year, 7 for the third year etc.

4 0

3 years ago

heeeelllllpppppp heyyy i need help asap and please try your best and solve the problem out it would be greatly appreciated becau

andreev551 [17]

Answer:

${10}^{ - 14}$

Step-by-step explanation:

$\huge\frac{ {10}^{ - 9} }{ {10}^{5} } \\ \\ \huge = {10}^{ - 9} \times {10}^{ - 5} \\ \\ \huge = {10}^{ - 9 + ( - 5)} \\ \\ \huge = {10}^{ - 9 - 5} \\ \\ \huge \orange {= {10}^{ - 14}}$

7 0

4 years ago

Read 2 more answers