Answer:
21 cards left to be signed
Step-by-step explanation:
1/3 of 72 is 24
So Harrison signed 24
3/8 of 72 is 27
Sp Alwine signed 27
24+27=51
So 72-51=21
21 cards left to be signed
Rewrite the root expressions as fractional exponents:
![\dfrac{\sqrt[3]{7}}{\sqrt[5]{7}} = \dfrac{7^{1/3}}{7^{1/5}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B7%7D%7D%7B%5Csqrt%5B5%5D%7B7%7D%7D%20%3D%20%5Cdfrac%7B7%5E%7B1%2F3%7D%7D%7B7%5E%7B1%2F5%7D%7D)
Recall that 
, so that
Simplify the exponent:
Then you end up with
![\dfrac{\sqrt[3]{7}}{\sqrt[5]{7}} = 7^{2/15}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B7%7D%7D%7B%5Csqrt%5B5%5D%7B7%7D%7D%20%3D%207%5E%7B2%2F15%7D)
First, you have to calculate the sales tax by multiplying: $59.99 x .08 = about(rounding to the nearest hundredth) $4.80. After that, you add the price and tax together: $4.80 + $59.99 = $64.79. So $64.79 in the total cost of your video game.
4 miles
Step-by-step explanation:
if you travel 8 in 1 hour just cut it in half
8 * 1/2 = 4
Answer:
We can now write this is a function of time in years leading to
f
(
x
)
=
200
(
.94
)
x
f
(
5
)
≈
147
Explanation:
Firs you should consider that if its exponential then it has some form similar to
3
x
. Where we have some known part (3) and the unknown part (
x
) that we are trying to find out. Mathematically we can say it has the form
a
x
. In this case we know what the
a
is and that is the entire population that was given to us. We know over time it will change but why are we even using the exponential model.
Well it turns out that if you multiply some value over and over again it has this form. Example we multiply
2
⋅
2
⋅
2
⋅
2
=
2
4
. So if something doubled over time then this is what would happen.
Now the problem is that it will continue to decrease at the same rate leading to
a
⋅
(
.94
)
because only
94
%
of the population remains each year. After two years
a
⋅
(
.94
)
⋅
(
.94
)
. We can now write this is a function of time in years leading to
f
(
x
)
=
200
⋅
(
.94
)
x
f
(
5
)
≈
147
Step-by-step explanation:
