the edge of the
tire move in 1 sec?
The number of the degrees of a point on the edge of the tire moving in 1 seconds will be 2700°.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
A tire is rotating 450 times per minute.
Convert RPM into RPS. Then we have
⇒ 450 / 60
⇒ 7.5 times per second
Then the number of the degrees of a point on the edge of the tire move in 1 seconds will be :
⇒ 7.5 x 1 x 360°
⇒ 2700°
The number of the degrees of a point on the edge of the tire moving in 1 seconds will be 2700°.
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Answer: 10 ball bearings
Plato is annoying
Step-by-step explanation:
2/3, 9/16, 0.52
Answer:
$87.50
Step-by-step explanation:
With this amount of detail we can see that she has saved 17.5 in 3 weeks. We need to find how much in 15 weeks so we...
15/3=5
17.5*5=87.50
After ten years, Tamora will have spent $6.496.76 on interest.
Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
Given, Tamora has just graduated from college. When she entered college four years ago, she took out a $9,100 subsidized Stafford loan, which has a duration of ten years. The loan has an interest rate of 5.4%, compounded monthly.
The total amount of interest to be paid can be expressed as;
A={P}
where;
A = Total amount of interest
P = principal amount of the loan
r = annual interest rate
n = number of compounding periods in a year
t=number of years
In our case;
P=$9,100
r=5.4%=5.4/100=0.054
n=12
t=10 years
Replace the values and solve
A=9,100{(1+0.054/12)^(12×10)}-9,100
A=9,100{(1.0045)^120}-9,100
A=6,496.7575
The sum has been rounded to the closest penny. The equivalent of rounding to the nearest decimalplace is 1/100=0.01.
A=$6,496.76
Tamora will have paid $6.496.76 in interest overall after ten years.
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Answer:
The total interest amount that Tamora will have paid in 10 years=$6.496.76
Step-by-step explanation:
Step 1: Express the formula for calculating total amount of interest
The total amount of interest to be paid can be expressed as;
A={P(1+r/n)^nt}-P
where;
A=total amount of interest
P=principal amount of loan
r=annual interest rate
n=number of compounding periods in a year
t=number of years
In our case;
P=$9,100
r=5.4%=5.4/100=0.054
n=12
t=10 years
Step 2: Replace the values and solve
A=9,100{(1+0.054/12)^(12×10)}-9,100
A=9,100{(1.0045)^120}-9,100
A=6,496.757596
The amount rounded off to nearest cent 1/100=0.01 is the same as rounding off to nearest decimal places
A=$6.496.76
The total interest amount that Tamora will have paid in 10 years=$6.496.76
The required height of the building is 53.31 feet.
A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.
Given that,
Angle of elevation from the first car A to the top of the apartment building = 48 degrees,
Angle of elevation from the second car B to the top of the apartment building = 64 degrees.
Also, car B is 22 feet above the car A.
Let the height of the building is h feet.
And distance from the car B to the building is x feet.
Use formula of tan θ,
tan 64 = h / x
2.050 = h/x
x = h / 2.050 (1)
And tan 48 = h / x + 22
1.1106 = h / x+ 22 (2)
By solving equation (1) and (2)
1.1106 = h / (h/2.050 + 22)
1.1106 = 2.050h / h + 45.1
1.1106h + 50.08 = 2.050h
0.9394 h = 50.08
h = 53.31
The height of the building is 53.31 feet.
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