Answer:
f(0) = 12
Step-by-step explanation:
You want to substitute 0 for x
f(0) = 5(0) + 12
f(0) = 12
Answer:
The answer is A
Step-by-step explanation:
A-the set of all rational numbers and the set of all real numbers
Have a great day!!! :)
9514 1404 393
Answer:
shaded/square = (50π cm²)/(400 cm²) = π/8
Step-by-step explanation:
The quarter circle has area ...
A = (1/4)(πr²) = π/4(20 cm)² = 100π cm²
The half-circle has area ...
A = (1/2)(πr²) = π/2(10 cm)² = 50π cm²
Then the area of the shaded portion is ...
shaded = 100π cm² -50π cm² = 50π cm²
__
The area of the square is ...
A = s² = (20 cm)² = 400 cm²
Then the ratio of interest is ...
shaded/square = (50π cm²)/(400 cm²) = π/8
Answer:
17
Step-by-step explanation:
First of all we find the total number of students:
4+6+2+2+3+4+6+3=30
Then we find the amount of seniors:
2+3=5
Now to find the probability we find the percentage of students which are seniors:
Which is also
and when you put that into your calculator you get:
0.16666... which is a decimal, we need a percentage, so we multiply by 100 to convert it:
0.16666...×100=16.666...
which is equal to 17 once rounded as the third digit (6) rounds up
Answer: She invest 41500 at 7% interest and 900 at 11% interest.
Step-by-step explanation:
Formula for simple interest = ![\dfrac{\text{Principal x rate x Time}}{100}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BPrincipal%20x%20rate%20x%20Time%7D%7D%7B100%7D)
Let ![P_1=\$1500,\ P_2=\$900\ \ \ \ , r_1=r, \ \ r_2=r+4,\ \ \ t_1=t_2=1](https://tex.z-dn.net/?f=P_1%3D%5C%241500%2C%5C%20P_2%3D%5C%24900%5C%20%5C%20%5C%20%5C%20%2C%20r_1%3Dr%2C%20%5C%20%5C%20r_2%3Dr%2B4%2C%5C%20%5C%20%5C%20t_1%3Dt_2%3D1)
Simple interest by first investment = ![\dfrac{P_1r_1t_1}{100}=\dfrac{1500(r)(1)}{100}=15r](https://tex.z-dn.net/?f=%5Cdfrac%7BP_1r_1t_1%7D%7B100%7D%3D%5Cdfrac%7B1500%28r%29%281%29%7D%7B100%7D%3D15r)
Simple interest by second investment = ![\dfrac{P_2r_2t_2}{100}=\dfrac{900(r+4)(1)}{100}=9(r+4)](https://tex.z-dn.net/?f=%5Cdfrac%7BP_2r_2t_2%7D%7B100%7D%3D%5Cdfrac%7B900%28r%2B4%29%281%29%7D%7B100%7D%3D9%28r%2B4%29)
As per given,
Total interest = $204
![\Rightarrow 15r+9(r+4)=204\\\\\Rightarrow\ 15r+9r+36=204\\\\\Rightarrow\ 24r=204-36\\\\\Rightarrow\ 24r=168\\\\\Rightarrow\ r=\dfrac{168}{24}\\\\\Rightarrow\ r=7\%](https://tex.z-dn.net/?f=%5CRightarrow%2015r%2B9%28r%2B4%29%3D204%5C%5C%5C%5C%5CRightarrow%5C%2015r%2B9r%2B36%3D204%5C%5C%5C%5C%5CRightarrow%5C%2024r%3D204-36%5C%5C%5C%5C%5CRightarrow%5C%2024r%3D168%5C%5C%5C%5C%5CRightarrow%5C%20r%3D%5Cdfrac%7B168%7D%7B24%7D%5C%5C%5C%5C%5CRightarrow%5C%20r%3D7%5C%25)
Hence, she invest 41500 at 7% interest and 900 at 11% interest.