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IRISSAK [1]
3 years ago
9

Claire is building a dollhouse where 11 inch on the plans is equivalent to 55 inches on the actual dollhouse. ​ Scale Factor ​If

the house is to be 32.532.5 inches tall, what will the height be on the plans? ___________ inches
Mathematics
2 answers:
Liula [17]3 years ago
3 0

Answer:

1 : 5 ;

6.5 inches

Step-by-step explanation:

Given that:

11 inch on plan = 55 in actual

The scale factor here is :

11 : 55

1 : 5 ( 1 inch on plan represents 5 inches the actual house)

If the house is 32.5 inches tall

The height in inches of the house on the plan will be:

Actual Height of house / 5

32.5 / 5 = 6.5 inches

wolverine [178]3 years ago
3 0

Answer: 6.5

Step-by-step explanation:

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klio [65]
Okay so there are 360 degrees in a circle graph
So 67%*360 degrees =241 degrees

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What is 862,840 rounded to
aliya0001 [1]
862,840 is rounded to 900,000
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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. <u>1 choice:</u> 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.

<u>2 choice:</u> 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
If you have 20 coins worth $1.35, and you only have nickels and dimes, how many do you have of each coin?
ankoles [38]
N + d = 20....n = 20 - d
0.05n + 0.10d = 1.35

0.05(20 - d) + 0.10n = 1.35
1 - 0.05d + 0.10d = 1.35
-0.05d + 0.10d = 1.35 - 1
0.05d = 0.35
d = 0.35/0.05
d = 7 <==== 7 dimes

n + d = 20
n + 7 = 20
n = 20 - 7
n = 13 <=== 13 nickels
5 0
3 years ago
Hey everyone! A little help will be needed/appreciated
lesya [120]

Answer:

2 and 1/4

Step-by-step explanation:

-5 1/4 - (-7 1/2)=

Rewrite as

-5.25 + 7.5 =2.25

5 0
3 years ago
Read 2 more answers
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