Answer:
Step-by-step explanation:
Let x represent the amount invested at 6%. Then the amount invested at 12% is 4x+249. Sherrie's interest is ...
0.06x +0.12(4x +249) = 988.92
0.54x + 29.88 = 988.92
0.54x = 959.04
x = 959.04/0.54 = 1776
4x+249 = 7353
__
Sherrie invested $1776 at 6% and $7353 at 12%.
Answer:
Step-by-step explanation:
3. slope of CB = rise/run = 5/12 BF = 5 CF = 12
BF ⊥ DF
DB (seg of two farthest points) = √BF²+DF² = √5²+32² = √1049 = 32.4
4. f(x) = 2x² - 5x -3 vertex : A (h,k) for f(x) = ax² + bx +c
h = - b/2a = - (-5 / 4) = 5/4
f = f(h) = 2*(5/4)² - 5*(5/4) - 3 =25/8 - 25/4 -3 = -49/8
A (5/4 , - 49/8) i.e. (1.25 , - 6.13)
negative root: 2x² - 5x -3 = (2x+1) (x- 3) x = - 1/2 y = 0
B (- 1/2 , 0)
x coordinate of AB: 1/2 (1.25 + -0.5) = 0.375
Answer:
36.576 meters or 36.58 meters
Step-by-step explanation:
Jamie has 365,987,784 dollars and 365,987,784 trees add them up and divide your total by 567,789,123,432,765,654,345 what's your
il63 [147K]
365,987,784+<span>365,987,784
</span>731975568/<span>567,789,123,432,765,654,345
</span><span>1.289168^12
</span>
Answer:
The total amount of interest Samantha will pay=$40,842.47
Step-by-step explanation:
Step 1: Determine expression of total interest amount to be payed
The expression for the total interest amount to be payed inclusive of interest is given by;
A=P(1+r/n)^(nt)-P
where;
A=total amount of interest to be payed
P=principal loan amount
r=annual interest rate
n=number of compounding periods in a year
t=number of years
In our case;
P=$40,000
r=4.7%=4.7/100=0.047
n=12
t=15 years
replacing;
A=40,000(1+0.047/12)^(12×15)-40,000
A=40,000(1.00392)^180-40,000
A=40,842.46821
The amount rounded of to the nearest cents=1/100=0.01, round off to the nearest 2 decimal places=40,842.47
The total amount of interest Samantha will pay=$40,842.47
