Answer:
$5265.71
Step-by-step explanation:
We have been given that you deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly.
We will use future value formula to solve our given problem.
, where,
,
r = Rate of return in decimal form,
n = Number of periods.
Therefore, there will be $5265.71 in your account at the end of those 3 years.
Answer:
58 degrees
Step-by-step explanation:
add the 2 shown, 74+48, to get 122 all triangles add up to 180 so subtract 122 from 180 and you get 58
Answer:
Options (1), (3) and (5)
Step-by-step explanation:
Equation that represents the relationship between the three sides of a triangle is,
a² + b² = c²
Where c = longest side of the triangle
If the length of the given sides satisfy the equation, triangle formed by the sides will be a right triangle.
Option A.
27 in, 36 in, 45 in
(45)² = (27)² + (36)²
2025 = 729 + 1296
2025 = 2025
True.
Option 2.
18 in, 22 in, 28 in
(28)² = (18)² + (22)²
784 = 324 + 484
784 = 808
False.
Option 3
10 in, 24 in, 26 in
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
True.
Option 4
20 in, 21 in, 31 in
(31)² = (20)² + (21)²
961 = 400 + 441
961 = 841
False.
Option 5
28 in, 45 in, 53 in
(53)² = (28)² + (45)²
2809 = 784 + 2025
2809 = 2809
True.
Therefore, Options (1), (3) and (5) will be the correct options.
The time for the job for which the two company are the same is 16
<h3>How to form the equation and find the cost?</h3>
A yard cleanup service charges a $345 fee plus $16.25 per hour. Therefore,
using linear equation,
y = mx + c
where
Therefore,
y = 345 + 16.25x
Another cleanup service charges a $213 fee plus $24.50 per hour. Therefore,
y = 213 + 24.50x
Hence, the time when both cost are the same is as follows;
213 + 24.50x = 345 + 16.25x
213 - 345 = 16.25x - 24.50x
-132 = -8.25x
x = 132 / 8.25
x = 16
learn more on equation here: brainly.com/question/2072580
Answer:
The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38
Step-by-step explanation:
The equation of the normal to the curve is
Y- y1 = - 1/m (x- x1)
Where m is the gradient.
See attached picture for the complete solution.
