Answer:
Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.
Explanation:
The formula for compound interest is i = r/n.
r represents the interest rate in decimal form.
n represents the compounding periods in a year.
Calculate the interest rate for 7% compounded quarterly:
Since interest compounded quarterly is four times a year, n = 4.
7% is converted to decimal form by dividing by 100.
7 / 100 = 0.07
r = 0.07
Substitute these into the formula:
i = r/n
= 0.07/4
= 0.0175
0.0175 is in decimal form. To convert it to a percentage, multiply it by 100.
0.0175 X 100 = 1.75%
1.75% ≠ 2%
Therefore, Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.
Answer:
16.5mm to. 1 decimal place
Step-by-step explanation:
Please check attachment for diagrammatic representation of the triangle.
Since one of the angles of the triangle is 90, this means that we are dealing with a right angled triangle
To find the length of AC, we make use of pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the other two sides. The hypotenuse is the longest side of the triangle which we have as 17.88 mm
Mathematically therefore
17.8^2 = 6.6^2 + AC^2
AC^2 = 17.8^2 - 6.6^2
AC^2 = 283.28
AC = √(273.28)
AC = 16.53 mm
This is 16.5 to 1 decimal place
The volume of the cylindrical figure is given by:
V=πr^2h
Given that the circumference of the figure is 4 yds, the radius will be:
C=2πr
4=2πr
hence;
r=4/(2π)
r=0.64 yds
Therefore the volume of the cylinder will be:
V=π*0.64^2*14
=17.83 cubic yards
Answer:
The tip should be $9.00
Step-by-step explanation:
Answer:
Her uncle's age = 47 years
Step-by-step explanation:
Sophia = 12 years old
Her Uncle Reynald tells her that if she adds 5 to her age,
= 12 + 5
multiplies the sum by 3
= (12 + 5) × 3
and then subtracts 4 from the product
= {(12 + 5) × 3} - 4
she will find his age
{(12 + 5) × 3} - 4
= (17 × 3) - 4
= 51 - 4
= 47
Her uncle's age = 47 years
Sophia wrote:
12 + 5 × 3 − 4
Using PEMDAS
P - product
E - exponent
M - multiplication
D - division
A - addition
S - subtraction
Sophia's expression can be written as = 12+(5*3)-4
= (12 + 15) - 4
= 27 - 4
= 23
Sophia's expression is wrong
