Answer: The interest rate was 9%.
Step-by-step explanation:
If principal amount P is invested at the rate of r percent with simple interest(I) for t years, the formula to find rate :
[tex]R=\dfrac{I\times100}{P\times t}[/tex]
As per given,
P = $ 500, I = $45, t = 1 year
Substitute values in formula , we get
[tex]R=\dfrac{45\times100}{500\times1}\\\\\Rightarrow R=9\%[/tex]
Hence, The interest rate was 9%.
how much feet is in a mile
Answer:
5280
Step-by-step explanation:
Answer:
There are 5,280 feet in a mile.
Henry drives at a speed of 80miles per hour how long will it take to drive 400miles
What is the surface area of this right square pyramid?
with a width of 5cm and a height of 9cm
A.90cm squared
B.115cm squared
C.205cm squared
D.250cm squared
Answer:
it isn't 205 but my guess is its 115
3y + 7 = x is this a direct proportion
Answer:
no
Step-by-step explanation:
if the ratio (yx) of two variables (x and y) is equal to a constant (k=yx) .in this case y is said to be directly proportional to x with proportionality constant k
Which expressions are polynomials? Select each correct answer. x2−x√+2 2 + s 4x³ + y
Answer:
Answers are
Y
2+s
4x^3+y
Step-by-step explanation:
Guy plz Quickly
Ashley wants to know how much wrapping paper is needed to cover a box with the dimensions shown.
What is the surface area of the box?
A.
140 square inches
B.
190 square inches
C.
95 square inches
D.
175 square inches
Answer:
A. 190 inches
Step-by-step explanation:
Plug in the numbers to the surface area formula to get 190, i messed up last time
Mean
Vasquez read 5 books in January, 8 books in February,
4books in March, and 7 books in April. What is the
average number of books Vasquez reads per month?
Answer: six per month
Answer:
6
Step By Step Solution:
[tex]5 + 8 + 4 + 7 = x\\ 13 + 4 + 7 = x \\ 17 + 7 = 24 \\ x = 24 \\ 24 \div 4 = 6[/tex]
A farmer has a field in the shape of a semicircle of diameter 50 m. First,
calculate the length of the semicircle to 1 decimal place.
50 m
Answer:
157.1 m
Step-by-step explanation:
Here, we want to calculate the length of the semi-circle
This simply refers to the circumference of the semi-circle
Mathematically, the circumference is half that of a full circle
The circumference of a full circle is;
C = pi * d
For half circle or semi-circle;
It is ;
C = (pi * d)/2
D = 50 m
The circumference is thus;
C = 50 * 3.142
C = 157.1 m
Sam put a 12-inch ruler into a cup. If 3 inches of the ruler were sticking out of the top of the cup, how deep was the cup?
Answer:
9 inches deep
Step-by-step explanation:
12 inches - 3 inches = 9 inches
Two vectors with magnitudes of 6 and 9 have a dot product equal to –27. Find the angle between the vectors.
Answer:
120°
Step-by-step explanation:
From the question,
The expression for the dot product of two vector is given as
a.b = abcosθ................... Equation 1
make θ the subject of the equation
θ =cos⁻¹ (a.b/ab)......................... Equation 2
Where θ = angle between the vector.
Given: a.b = -27, a = 6, b = 9
Substitute these values into equation 2
θ = cos⁻¹[-27/(6×9)]
θ = cos⁻¹(-27/54)
θ = cos⁻¹(-0.5)
θ = 120°.
Hence the angle between the vector is 120°
Answer:
B
Step-by-step explanation:
Edge 2021
4.6 isosceles and Equilateral triangles
Answer:
Step-by-step explanation:
5555
The red arcs mean those angles are the same.
When two angles are the same the corresponding sides are also the same.
5. X = 8
6. X = 11
7. 2x-16 = 8
Add 16 to both sides:
2x = 24
Divide both sides by 2:
X = 12
8. X + 19 = 8
Subtract 19 from both sides:
X = -11
6. The human brain weighes about 1 pounds for each 100 pounds of body weight. What
is the approximate weight of the brain of a person who weighs 85 pounds. Round to
the nearest ounce.
all
I did a proportion and I think the answer is 13.6 or 14 after being rounded
1/4 + 3 = ??
What’s the answer??
Answer:
3.25
Step-by-step explanation:
divide then add 3
Answer:
3 1/4 or 13/4
Step-by-step explanation:
Help ASAP! Use the graph to answer the question
Answer:second 1
Step-by-step explanation:
Answer:
The blue line models the data points better than the red line. It is because the data points are all close to the line.
determine an equation and the radius for the circle that has its centre at the origin (0,0) passes through the point A 4-3
Given:
The center of the circle is at (0,0).
The circle passes through the point A(4,-3).
To find:
The radius and the equation of the circle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The radius of the circle is the distance between the points (0,0) and (4,-3).
[tex]r=\sqrt{(4-0)^2+(-3-0)^2}[/tex]
[tex]r=\sqrt{(4)^2+(-3)^2}[/tex]
[tex]r=\sqrt{16+9}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r=5[/tex]
So, the radius of the circle is 5 units.
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is center of circle and r is the radius.
Putting h=0, k=0, r=5, we get
[tex](x-0)^2+(y-0)^2=5^2[/tex]
[tex]x^2+y^2=25[/tex]
Therefore, the radius of the circle is 5 units and the equation of the circle is [tex]x^2+y^2=25[/tex].
n is less than or equal to 13
Answer:
n ≤ 13
Step-by-step explanation:
≤ is a symbol used to show less than or equal to. Since n is less than or equal to 13, you will put it like n ≤ 13.
. A dice is thrown once. Find the probability of getting (i) An even number (ii) a number greater than 6
Help with this pls HELPP ME PLSSSS
Answer:
Slope = 2
Step-by-step explanation:
Rise = 2
Run = 1
Rise/Run = 2/1 = 2
hii please help i’ll give brainliest
Answer:
X>3
Step-by-step explanation:
Can you please solve this
Answer: [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]
Step-by-step explanation:
I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.
1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.
2. I used the same method. Now I will multiply the two.
3. [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]
If angle 2 = 117°, find angle 8
Answer:
180- 117 = 63
Step-by-step explanation:
i’m a little bit confused for this one i just need to know what doesn’t belong
Answer:
C
Step-by-step explanation:
there is no other line
Mel has a net annual income of $53 246 after 21% of her income is C withdrawn for tax purposes. What was her gross income?
Answer:
$67400
Step-by-step explanation:
Given that :
Net income = 53246
Deduction (tax purposes) % = 21%
Gross income = net income + deduction
Let gross income = x
x = 53246 + 21% of x
x = 53246 + 0.21x
x - 0.21x = 53246
0.79x = 53246
x = 53246 / 0.79
x = 67400
1 picture 2 questions please help
Answer:
7)It is possible for two rectangles to have the same area but not the same perimeter 8) 8cm
Step-by-step explanation:
Find the X & Y value
Answer:
Step-by-step explanation:
x = 72°
y = 61°
40 people can ride the roller coaster every 15 minutes. How many people can ride the roller coaster every 3 hours?
Answer:
480
Step-by-step explanation:
Answer:
486 people can ride the roller coaster in 3 hours
Step-by-step explanation:
40÷15 = 2.7
2.7 × (60×3)
2.7×180= 486
Please help with number 1? It’s urgent!!!!
Answer:
b
Step-by-step explanation:
What are the zeros of the function h(x)=2x2+x−15
?
A
x=−3andx=−52
B
x=−3andx=52
C
x=−52andx=3
D
x=52andx=3
f (x)= 1-x
___
1+x
show that ff (×)= x
Answer:
mhmhmh
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
the qhfjibv clicks its 2
14m - 9n + 2n -3(3m - 4)
Answer:
14m-7n-3
Step-by-step explanation:
Answer:
5m-7n+12
Step-by-step explanation: