Answer:
Step-by-step explanation:
Let x represent the speed of the slower plane. The faster plane's speed is then x+40. The sum of speeds is ...
x + (x+40) = 1180
2x = 1140 . . . . subtract 40
x = 570 . . . . . .divide by 2
x+40 = 610 . . . . the speed of the faster plane
The two speeds are 570 mph and 610 mph.
Answer:
D. 49.75 months
Step-by-step explanation:
Esme earns a net salary of $2400 per month.
In her saving account she already have a balance of $100.
She saves $100 every month after her monthly expenses.
She plans to buy a car of $20000 using a no interest loan .
She usually make a $300 payment on the loan every month.
The number of months she will save enough money to pay off her loan completely can be calculated below.
let
x = number of months
The amount she saved altogether every month is $300 + $100 = $400.
Recall she already has $100 in her account
Amount of loan to be repaid = 100 + 400x
20000 = 100 + 400x
20000 - 100 = 400x
19900 = 400x
divide both sides by 400
x = 19900/400
x = 49.75 months
Answer:
x = 55°
y = 70°
z = 125°
Step-by-step explanation:
Based on the Isosceles triangle theorem, since two sides of the triangle are congruent, therefore, the angles opposite to each of the equal sides are congruent.
Thus:
x = 180° - 125° (angles on a straight line/linear pair)
x = 55°
If x = 55°, the other base angle will also be 55°.
Therefore,
y = 180° - (55° + 55°) (sum of ∆)
y = 70°.
z = x + y (exterior angle of a ∆ theorem)
z = 55° + 70° (substitution)
z = 125°
Answers would be D and C im pretty sure
Given:
Principal = $273
Interest rate = 5% compounded quarterly
time = 5 years
A = P (1 + r/n)^nt
A = amount of money accumulated plus interest
P = principal
r = interest rate (in decimal form)
n = number of times the interest is compounded per year
t = total number of years the amount is deposited
A = $273 (1 + 0.05/4)⁴*⁵
A = $273 (1 + 0.0125)²⁰
A = $273 (1.0125)²⁰
A = $273 * 1.2820
A = $349.99
$349.99 - 273 = $76.99
The compounded interest amounts to $76.99
