Answer:
6 inches
Step-by-step explanation:
IF there are 6 beads in total, that are 1 inch each, 6 x 1 would be 6, therefore its 6 inches
Answer:
C= 15
Step-by-step explanation:
![\frac{9}{5} C + 32 = 59](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B5%7D%20C%20%20%2B%20%2032%20%3D%20%2059%20%20)
subtracting 32 from both sides
![\frac{9}{5}C = 59 -32](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B5%7DC%20%20%3D%2059%20-32%20)
![\frac{9}{5} C = 27](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B5%7D%20C%20%3D%2027)
Dividing both sides by 9/ 5
![C = 27 \times \frac{5}{9}](https://tex.z-dn.net/?f=C%20%3D%2027%20%5Ctimes%20%20%5Cfrac%7B5%7D%7B9%7D%20)
![C = 3 \times 5](https://tex.z-dn.net/?f=C%20%3D%203%20%5Ctimes%205)
![C = 15](https://tex.z-dn.net/?f=C%20%3D%20%2015)
The answer is 10 because 3x2 is 6 and 6 x 5 is 30 and 3 x 10 is 30
<span>The statement that best summarizes Jonathon’s exercise
routine is: ‘Jonathon does 2 push-ups for every 15 crunches.’ The graph shows
that the independent variable, located on the x-axis, is the number of
crunches. On the other hand, the dependent variable, located on the y-axis, is
the number of push-ups. Thus, Jonathon does the push-ups after he had done the
crunches. </span>
Answer:
Step-by-step explanation:
Given that:
The investment amount in account = $ 320
The rate of interest is = 8.1% compounded quarterly
Compunded quarterly means 8.1% / 4 = 0.02025
The time period = t years
The objective is to write a function showing the value of the account after t years.
From compound interest , compounded monthly.
![Amount = Principal * ( 1 + \dfrac{rate}{12*100})^{12*time}](https://tex.z-dn.net/?f=Amount%20%3D%20Principal%20%2A%20%28%201%20%2B%20%5Cdfrac%7Brate%7D%7B12%2A100%7D%29%5E%7B12%2Atime%7D)
![= $320 *(1 + \dfrac{0.02025}{12*100})^{12t}](https://tex.z-dn.net/?f=%3D%20%24320%20%2A%281%20%2B%20%5Cdfrac%7B0.02025%7D%7B12%2A100%7D%29%5E%7B12t%7D)
![= 320*(1+ 1.6875*10^{-5})^{12t}](https://tex.z-dn.net/?f=%3D%20320%2A%281%2B%201.6875%2A10%5E%7B-5%7D%29%5E%7B12t%7D)
![= 320 * ( 1.000016875)^{12t}](https://tex.z-dn.net/?f=%3D%20320%20%2A%20%28%201.000016875%29%5E%7B12t%7D)
Thus; the function after t years ![= $320 * ( 1.000016875)^{12t}](https://tex.z-dn.net/?f=%3D%20%24320%20%2A%20%28%201.000016875%29%5E%7B12t%7D)
The percentage of growth per year is :
= (1 + 0.02025)^4 - 1
= 1.083493758 - 1
= 0.083493758
= 8.4 % (APY) yearly