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Alika [10]
3 years ago
15

36 is ______ % less than 60

Mathematics
1 answer:
disa [49]3 years ago
7 0
Is = %
Of. 100

36. = x
60. 100
3600=60x
Divide by 60
x=60

So 36 is 60% of 60
Or 40% less than 60

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2/3x + 1/2 = 5/6, x=
sesenic [268]

Answer: x = 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

4 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. <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
I'll mark you the brainiest if you get this right<br> thx x
GenaCL600 [577]
A) triangle c, has the largest area
b) a= 1/2 (3) (3) a= 4.5
the picture shows what i mean hope this helps :)

6 0
2 years ago
The approximate dimensions of an olympic size swimming pool are 164ft by 82ft by 6ft?what is the volume?
harkovskaia [24]

To find the volume multiply the length by the width by the depth.


Volume = 164 x 82 x 6 = 80,688 cubic feet.

7 0
3 years ago
Read 2 more answers
Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized
Roman55 [17]

Answer:

Option B.

Step-by-step explanation:

The given triangle is a right angle triangle.

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

In the given triangle,

\tan (45^{\circ})=\dfrac{v}{7}

1=\dfrac{v}{7}

7=v

Using Pythagoras theorem, we get

hypotenuse^2=Perpendicular^2+Base^2

u^2=v^2+7^2

u^2=7^2+7^2

u^2=2(7^2)

Taking square root on both sides, we get

u=\sqrt{2(7^2)}

u=7\sqrt{2}

Therefore, the correct option is B.

6 0
3 years ago
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