in simple interest, I=PRT
I=interest
P=principal
R=rate in decimal form
T=time in years usually, but could be months or weeks, dunno
I'm assuming that the 8.75 is 8.75% or 0.0875 in decimal
so
I=PRT
we know I, P, and R, so solve for T
I=PRT, divide both sides by PR
I/(PR)=T
subsitute
I=5425.00, P=15000, R=0.0875
I/(PR)=5425.00/(15000*0.0857)=4.133333333=T
so the time is 4.13333333 units of time
Answer:
There are no possible solutions
Step-by-step explanation:
Given:
Minimum number of coins Alexa has =28 coins
Number of quarters Alexa has = 17 quarters
Total amount in coins = $5.05 = 505 cents
Let number of dimes be =
coins
So we can have two inequalities.
1) Total number of coins
[Since minimum number of coins=28]
2) Total value of coins
[As 1 dime=10 cents and 1 quarter=25 cents]

Solving inequality (1)
Subtracting both sides by 17.

∴ 
Solving inequality (2)
Subtracting both sides by 425.


Dividing both sides by 10.

∴ 
On combining both solutions
and
,
we see that there are no possible solutions as number of dimes cannot be ≥11 and ≤8 at the same time.
Answer:
x = 1.56 or x = -2.56
Step-by-step explanation:
From the equation;
x2 +x − 4 = 0
a = 1 , b = 1, and c = -4
x = (-b ± √(b² -4ac))/2a
= (-1 ± √(1²- 4×1×-4))/2
= ( -1 ± √(17)/2
= (-1 ± 4.12)/2
= (-1 + 4.12)/2 or (-1 - 4.12)/2
<u>x = 1.56 or x = -2.56</u>
<h3>Given</h3>
right triangle with side "a" = 12 and hypotenuse "c" = 15
<h3>Find</h3>
cos(∠A)
<h3>Solution</h3>
The Pythagorean theorem tells you
... b = √(c² - a²) = √(225 - 144) = √81 = 9
The definition of the cosine tells you
... cos(A) = b/c = 9/15
... cos(A) = 3/5 . . . . . . reduce the fraction
Answer:
5 is their common denominator
Step-by-step explanation:
A common denominator is when both denominators are the same.