mathematics 20 - 3 final exam (s1 - 2023)\n7. a customer has a credit card with a $10000.00 credit limit. if…

mathematics 20 - 3 final exam (s1 - 2023)\n7. a customer has a credit card with a $10000.00 credit limit. if he purchases a refrigerator for $1276.00 and a washing machine for $1125.00 on his card, what is his available credit?\na. $7448.00\nb. $7599.00\nc. $7750.00\nd. $9849.00\n8. chantal has an outstanding balance of $256.84 on a credit card. the minimum monthly payment is 13% or $20.00, whichever is more. what is the minimum monthly payment?\na. $16.00\nb. $33.39\nc. $20.00\nd. $38.39\n9. if 29 days after a $1800.00 loan is charged, it costs $1925.00 to pay it off, what is the annual interest rate?\na. 7.6%\nb. 2.9%\nc. 88.2%\nd. 87.4%\n10. what is the surface area of a cone with a base radius of 10 cm and a slant height of 7.5 cm? round to the nearest whole number.\na. 412 cm²\nb. 432 cm²\nc. 550 cm²\nd. 314 cm²\n11. maggie needs to cover cylindrical fluorescent light - bulbs with bubble wrap so they can be transported. these bulbs have a radius of 4 cm and are 75 cm long. how much bubble wrap will maggie need to cover the surface of a bulb, including the ends?\na. 985 cm²\nb. 1985 cm²\nc. 1785 cm²\nd. 100 cm²
Answer
7.
Explanation:
Step1: Calculate total purchases
Add the cost of the refrigerator and the washing - machine. $1125 + 1276=2401$.
Step2: Calculate available credit
Subtract total purchases from credit limit. $10000 - 2401 = 7599$.
Answer:
b. $7599.00
8.
Explanation:
Step1: Calculate 13% of the outstanding balance
$0.13\times256.84 = 33.3892\approx33.39$.
Step2: Compare with the fixed - minimum
Since $33.39>20$, the minimum monthly payment is $33.39$.
Answer:
b. $33.39
9.
Explanation:
Step1: Calculate the interest amount
$I=1925 - 1800=125$.
Step2: Use the simple - interest formula $I = Prt$
$t=\frac{29}{365}$ (assuming a non - leap year), $P = 1800$, and $I = 125$. We need to solve for $r$. From $I=Prt$, we have $r=\frac{I}{Pt}$. Substitute the values: $r=\frac{125}{1800\times\frac{29}{365}}$. $r=\frac{125\times365}{1800\times29}=\frac{45625}{52200}\approx0.874$. Multiply by 100 to get the percentage: $r = 87.4%$.
Answer:
d. $87.4%
10.
Explanation:
Step1: Recall the surface - area formula for a cone
The surface area of a cone $A=\pi r(r + l)$, where $r$ is the radius and $l$ is the slant height.
Step2: Substitute the given values
$r = 10$ and $l = 7.5$. $A=\pi\times10\times(10 + 7.5)=\pi\times10\times17.5=175\pi\approx175\times3.14 = 549.5\approx550$.
Answer:
C. $550\ cm^{2}$
11.
Explanation:
Step1: Recall the surface - area formula for a cylinder
The surface area of a cylinder $A = 2\pi r^{2}+2\pi rh$.
Step2: Substitute the given values
$r = 4$ and $h = 75$. $A=2\pi\times4^{2}+2\pi\times4\times75=32\pi+600\pi=632\pi\approx632\times3.14 = 1984.48\approx1985$.
Answer:
B. $1985\ cm^{2}$