Answer: im only in middle school so this might be wrong but...
-296.27
Step-by-step explanation:
because
Answer:
The interest rate of the account is 
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above and solve for r
![[(2,830.97/1,863)^{1/56}-1]=\frac{r}{4}](https://tex.z-dn.net/?f=%5B%282%2C830.97%2F1%2C863%29%5E%7B1%2F56%7D-1%5D%3D%5Cfrac%7Br%7D%7B4%7D)
![r=4*[(2,830.97/1,863)^{1/56}-1]\\ \\r= 0.03](https://tex.z-dn.net/?f=r%3D4%2A%5B%282%2C830.97%2F1%2C863%29%5E%7B1%2F56%7D-1%5D%5C%5C%20%5C%5Cr%3D%200.03)
Convert to percent
Answer:
8a. x = 16√3
8b. y = 8√3
Step-by-step explanation:
8a. Determination of the value of x
Adjacent = 24
Hypothenus = x
Angle θ = 30°
The value of x can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent /Hypothenus
Cos 30 = 24 / x
√3/2 = 24/x
Cross multiply
x × √3 = 2× 24
x × √3 = 48
Divide both side by √3
x = 48/√3
Rationalise
x = 48/√3 × √3/√3
x = 48√3 / √3 × √3
x = 48√3 / 3
x = 16√3
8b. Determination of the value of y
Opposite = y
Adjacent = 24
Angle θ = 30°
The value of y can be obtained by using Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 30 = y / 24
1 / √3 = y /24
Cross multiply
y × √3 = 1 × 24
y × √3 = 24
Divide both side by √3
y = 24 /√3
Rationalise
y = 24 /√3 × √3/√3
y = 24 ×√3 / √3 × √3
y = 24√3 / 3
y = 8√3
Answer:
$200,000
Step-by-step explanation:
6,000×100=600,000
600,000÷3=200,000
So $200,000
Answer:
28
Step-by-step explanation:
14x2=28
Therefore x=28
