Answer: $4,365.10
Step-by-step explanation:
Ok, we know that:
The account starts with $2350
There is a simple interest of 3.75% (or 0.035).
Then after one year, the amount in the account will increase by 3.75%, this means that the amount will be:
$2350 + 0.035*$2350 = (1.035)*$2350.
After another year, we have the same increase (but applied to the new amount in the account):
(1.035)*$2350 + 0.035*(1.035)*$2350. = (1.035)^2*$2350
And so on.
You already can see the pattern here, the amount of money in the saving account after N years will be:
M(N) = $2350*(1.035)^N.
Now we can answer:
what is the balance of the account if it earns a simple interest of 3.75% for 18 years?
Just replace N by 18 in that equation:
M(18) = $2350*(1.035)^18 = $4,365.10
Answer:
<em>x </em>= -2
<em>y </em>= 0
Step-by-step explanation:
Pretty hard process, but let me explain:
First, solve for y.
Substitute -x - 2 for y in x - y = -2:
Then, simplify both sides of the equation.
x - y = -2
x - (-x - 2) = -2
After, add -2 to both sides of the equation.
2x + 2 = -2
2x + 2 + -2 = -2 + -2
Next, divided both sides by 2.
2x/2 = -4/2
After that, substitute -2 for x in y = -x - 2:
You must simplify both sides of the equation.
y = -x - 2
y = -(-2) - 2
y = 0
Sorry if this is long and confusing, but I hope this helps!!
Answer:
<u>D) (f o g)(x) = 10x² - 60x + 93</u>
Step-by-step explanation:
f(x) = 10x² + 3
g(x) = x - 3
⇒ (f o g)(x)
⇒ f(x - 3)
⇒ f(x - 3) = 10(x - 3)² + 3
⇒ f(x - 3) = 10(x² - 6x + 9) + 3
⇒ f(x - 3) = 10x² - 60x + 90 + 3
⇒ <u>(f o g)(x) = 10x² - 60x + 93</u>
Answer:
0.1037
Step-by-step explanation:
(6C4 × 12C3)/18C7
3300/31824
275/2652 = 0.1037
