Answer:
$576.80
Step-by-step explanation:
We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.
We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.
We will use simple interest formula to solve our given problem.
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Let us convert 1% into decimal form,
1%=1/100=0.01
P=$560 and t=3
A=$560 (1+0.01(3))
A=$560 (1+0.03)
A= $560 (1.03)
A= $576.80
Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!
Answer:
Area ABCDE = 82 cm²
Step-by-step explanation:
ABCDE = ΔEAD + ΔDAC + ΔCAB
ABCDE = (12×5)/2 + (12×6)/2 + (8×4)/2 = 30+36+16 = 82
Answer:
<h3>y = 1</h3>
Step-by-step explanation:
Correct question
The points ( 2,4) and (5,y) lie on the same line. If the slope of the line is --1, what is the value of y
The formula for calculating slope of a line is expressed as;
m = y2-y1/x2-x1
Substitute the given point
y - 4/5-2 = -1
y-4/3 = -1
y-4 = -3
y = -3+4
y = 1
Hence the value of y is 1
I can tell you how to solve it I you want me too
Answer:
A) 48/13 ft/sec
B) 22/13 ft/sec
Step-by-step explanation: Given that:
A light is on the top of a 12 ft tall pole and a 5ft 6in tall person is walking away from the pole at a rate of 2 ft/sec.
A) At what rate is the tip of the shadow moving away from the pole when the person is 25 ft from the pole?
Using similar triangles, we can say:
12/L = 55/(L - x)
Cross multiply to get:
12(l - x) = 5.5l
12l - 12x = 5.5l
6.5l = 12x
x = (6.5/12)l
Taking the derivative with respect to time we get:
dx/dt = (6.5/12)dl/dt or
dl/dt = (12/6.5)(dx/dt)
Since dx/dt = 2 so
dl/dt = (12/6.5)(2)
= 24/6.5
= 48/13 ft/sec
B) At what rate is the tip of the shadow moving away from the person when the person is 25 ft from the pole ?
Subtract the rate the shadow is going from the rate the man is going. Therefore
48/13 - 2 = 22/13 ft/sec.
