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3 years ago

12

How many squares will be in the fifth figure

1 answer:

Phantasy [73]3 years ago

5 0

Answer: 30

Step-by-step explanation:

see photo for work

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Charles owes $2,500 on a credit card. The card charges 12% interest compounded continuously. Write a formula that describes how

ella [17]

Answer:

see below

Step-by-step explanation:

The formula for the amount resulting from P earning interest at rate r continuously compounded is ...

A = Pe^(rt)

for P=2500 and r=0.12, this becomes ...

A = 2500e^(0.12t)

4 0

3 years ago

Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed?

Flura [38]

Answer:

The value to the given expression is 8

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Step-by-step explanation:

Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed

Given expression can be written as below

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3$

To find the value of the given expression:

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}$

( By using the property ( $(\frac{a}{b})^m=\frac{a^m}{b^m}$ )

$=\frac{(10^4)^3(5^2)^3}{(10^3)^3(5^3)^3}$

( By using the property $(ab)^m=a^mb^m$ )

$=\frac{(10^{12})(5^6)}{(10^9)(5^9)}$

( By using the property $(a^m)^n=a^{mn}$ )

$=(10^{12})(5^6)(10^{-9})(5^{-9})$

( By using the property $\frac{1}{a^m}=a^{-m}$ )

$=(10^{12-9})(5^{6-9})$ (By using the property $a^m.b^n=a^{m+n}$ )

$=(10^3)(5^{-3})$

$=\frac{10^3}{5^3}$ ( By using the property $a^{-m}=\frac{1}{a^m}$ )

$=\frac{1000}{125}$

$=8$

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Therefore the value to the given expression is 8

3 0

3 years ago

Read 2 more answers

Help me with this question i tried multiple time to solution it always wrong

maw [93]

7/9-1/3 or 7/9-3/9= 4/9 is the answer

4 0

3 years ago

Pentagon OPQRS is shown on the coordinate plane below:

sertanlavr [38]

Answer:

Multiply the coordinates of point P by the scale factor 7/4 to get the coordinates of P'.

Given : P(-5,3)

P' (x,y) = P (-5 x 7/4 , 3 x 7/4)

= P(-8.75, 5.25)

Step-by-step explanation:

8 0

3 years ago

Can someone plz solve 2(2x -5) in distributive property

Reika [66]

Answer:

4x-10

Step-by-step explanation:

Multiply both by 2, 2x times 2 is 4x, and 5 times 2 is 10, so it becomes 4x-10.

3 0

3 years ago