Answer:
13.7 cm
Step-by-step explanation:
- there are 360° in a circle and in this image, we can see 90°+90°+66.4°=260.4
- since we know that 360°-260.4°=99.6°
- The angle measure of arc AD is 99.6°
Now that we covered that, we can use the arc length formula in order to find the length of arc AD.
- arc length = 2πr(Θ/360°)
- 2π(7.9)(99.6°/360°) = 13.7329
- rounded to the nearest tenth = 13.7
Answer:
4224
Step-by-step explanation:
.8 mile = 4224 feet
Answer:A
Step-by-step explanation: In exponents,
a
1
m
=
m
√
a
Hence
x
1
2
=
2
√
x
A number can replaced with a variable like x
(X+3)4=16
4x+12=16
4x=4
X=1
(X/4)+3=24
X/4=21
X=84
Answer:
$265.07
Step-by-step explanation:
The formula for the future value of an annuity is applicable.
A = P((1+r)^n-1)/r . . . . where r is the monthly interest rate and n is the number of months. P is the monthly payment, and A is the amount of the future value.
800 = P(1.006^3 -1)/(.006) = 3.018036P
P = 800/3.018036 ≈ 265.07
Sarafina's monthly payments need to be $265.07.
_____
This is about $1.60 less than the 266.67 she would deposit if she simply divided the desired balance by the number of months.
Because this number is rounded down, Sarafina will have a balance after 3 months of $799.99.