Answer:
The amount is $649.46 and the interest is $49.46.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$600 , r=8% , n=4 and t=1 years
After plugging the given information we have
AAAA=600(1+0.084)4⋅1=600⋅1.024=600⋅1.082432=649.46
STEP 2: To find interest we use formula A=P+I, since A=649.46 and P = 600 we have:
A649.46II=P+I=600+I=649.46−600=49.46
For this case we have that, by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cutting point with the y axis
We have, according to the statement data that:
So, the equation is of the form:
We also have that the line intersects the "x" axis at -3, that is, the line passes through the point 
We substitute to find "b":
Finally, the equation is of the form:
Answer:
Answer:Real numbers are used in measurements of continuously varying quantities such as size and time, in contrast to the natural numbers 1, 2, 3, …, arising from counting. ... The real numbers include the positive and negative integers and fractions (or rational numbers) and also the irrational numbers.
Step-by-step explanation:
387.5 miles. because, if 1/2=0.50 then let's make that 0.50 into 1.00. and let's divide 7 3/4 by 2 because, you multiplied 0.50 by 2. 7 3/4=3.875 then multiply by 100=387.5
if you have any trouble just ask my in the comments
Answer:
Total weight = 70.5 kg
Step-by-step explanation:
Rectangular frame is made from 5 straight pieces of metal. One of them goes through the diagonal of the rectangle.
2 pieces form the length of the rectangular frame, hence, they have a length of 12 m each
2 pieces from the width of the rectangular frame, hence, they a length of 5 m each
To find the length of the diagonal, we can use Pythagoras Theorem:
Hypotenuse² = Base² + Perpendicular²
Hypotenuse² = 5² + 12²
Hypotenuse² = 169²
Hypotenuse = 13
Hence, the length of the piece of metal placed at the diagonal is 13cm
Find the sum of all lengths of the metal pieces.
Total length = 12 + 12 + 5 + 5 + 13
Total length = 47 m
Total weight = 1.5 × Total length
Total weight = 1.5 kg/m × 47m
Total weight = 70.5 kg
