Answer:
3.2%
Step-by-step explanation:
The computation of the annual rate of interest is shown below:
As we know that
Simple interest = Principal × rate of interest × time period
($1,857.60 - $1,800) = $1,800 × rate of interest × 1
$57.60 = $1,800 × rate of interest × 1
So, the rate of interest is
= $57.60 ÷ $1,800 × 100
= 3.2%
Hence, the rate of interest on annual basis is 3.2%
Factor out the GCF from the given polynomial. 10^3 + 16^2 - 18x 10^3 + 16^2 - 18x = (Type your answer in factored form.)
Answer:
2x
Step-by-step explanation:
Given the expression 10x^3 + 16x^2 - 18x, we are to find the GCF
First find the factors
10x^3 = 2 * 5 * x * x^2
16x^2 = 2 * 8 * x * x
18x = 2 * 9 * x
From the factors shown, you will see that 2 and x are the common factors. Hence the GCF of the expression is 2x
Can anyone please help?
Answer:
Step-by-step explanation:
1. 7x/3
2.7x/5
3. 2(1 + 3x)/5x
4. x-8??
5. 5x+9/27x
Not sure if i did this how you wanted it done but i just simplified if its wrong let me know i can try to fix it
1. You start a biology experiment with 4,500 cells. The cells are continuously growing and 2 minutes later
there are about 22583 cells. What is the rate of growth per minute?
Answer:
80.65% per minute
Step-by-step explanation:
For continous growth :
A = Pe^rt
A = amount after time, t
P = initial amount
r = growth rate
22583 = 4500 * e^r*2
22583 = 4500 * e^2r
22583 / 4500 = e^2r
5.0184444 = e^2r
Take the In of both sides
1.61312 = 2r
r = 1.61312 ÷ 2
r = 0.80656
0.80656 * 100% = 80.65%
Write
39
100
as a decimal number
Answer:
0.391.00Step-by-step explanation:
"100% as a decimal is written as 1.00 as decimal notation.""39% = 0.39 in decimal form. Percent means 'per 100'. So, 39% means 39 per 100 or simply 39/100."The number of customers that come to a certain clothing store each day follows a normal distribution. The mean number of customers is 428, and the standard deviation is 32. What is the probability that more than 524 customers will come to the store on a given day?
A.
0.15%
B.
0.3%
C.
2.5%
D.
5%
Answer: the true answer is A
Step-by-step explanation:
Good luck, give Brainliest
Using the normal distribution, it is found that the probability that more than 524 customers will come to the store on a given day is given by:
A. 0.15%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 428, \sigma = 32[/tex].
The probability that more than 524 customers will come to the store on a given day is one subtracted by the p-value of Z when X = 524, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{524 - 428}{32}[/tex]
Z = 3
Z = 3 has a p-value of 0.9985.
1 - 0.9985 = 0.0015 = 0.15%.
Hence option A is correct.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ2
Calculate the closing price of a bond that has a face value of $1,000 and is closing at 101 7/8% of the face value.
A. $1,001.78
B. $1,000.78
C. $1,018.75
D. $1,000.75
Answer:
The present value of this bond is simply the sum of these two present values: ... an investment in an 8%, $1,000 par value, 5-year Government of Canada bond. ... D.T-bill yield is calculated as (100-price)/price x (365/term) x 100. ... maturity (per $100 face value) for a bond with a 7.0% coupon, current market price of $107.50 ...
Step-by-step explanation:
The answer is C $1,018.75
Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms interior 24, measuring 35°. What is the measure of
272
Main
Oak
4 (35)
5
6
Elm
O A. 145°
B. 135
C. 35
D. 45°
Adrian measured a line to be 13.8 inches long. If the actual length of the line is 13.1
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
Answer:
5.34%.
Step-by-step explanation:
Given that,
Measured length of a line = 13.8 inches
Actual length of the line = 13.1 inches
We need to find the percent error of the measurement. We can find it as follows :
[tex]\%=\dfrac{|measured-actual|}{actual}\times 100\\\\\%=\dfrac{13.8-13.1}{13.1}\times 100\\\\\%=5.34\%[/tex]
So, the required percentage is equal to 5.34%.
Please help me with this questionnn
Answer:
V = 1436.76
Step-by-step explanation:
Formula:
V = 4/3πr³
Given:
r = 7
Work:
V = 4/3πr³
V = 4/3π(7³)
V = 4/3π(343)
V = 1436.76
What does A equal: 3(6a+12)=9
Answer:
a = -3/2
Step-by-step explanation:
3(6a+12)=9
Divide each side by 3
3/3(6a+12)=9/3
6a+12 = 3
Subtract 12 from each side
6a+12-12 = 3-12
6a = -9
Divide by 6
6a/6 = -9/6
a = -3/2
3(6a+12)=9
distribute
18a+36=9
subtraction P.O.E.
18a=-27
division P.O.E.
a=-1.5
I don't understand the problem. Can you help me solve it please? I also have an IEP.
Answer:
12
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse ( the side opposite the right angle)
a^2 + b^2 = c^2
Substitute the known values
5^2 + b^2 = 13^2
25+b^2 = 169
Subtract 25 from each side
25+b^2-25 =169-25
b^2 = 144
Take the square root of each side
sqrt(b^2) = sqrt(144)
b=12
Answer:
Given:
a = 5c = 13To find:
missing side b
Solution:
Using Pythagorean theorem,
(Hypotenuse² = base² + perpendicular²)
b² = c² - a²
= 13² - 5²
= 169 - 25
= 144
b = √144
= 12
which of the following differential equations have x^2-4y^2=8 as a solution?
a) dy/dx = 4xy
b) dy/dx = 4x/y
c) y dy/dx = x/4
d) dy/dx = -x/4y
Answer:
B
dy/dx = 4x/y
Sorry if it's wrong!
two sides of a triangle measure 24 inches and 29 inches. which of the following lenght could represent the third side
(A) 8,8,17
(B) 2,11,12
(C) 20,6,15
(D) 19,34,15
Step-by-step explanation:
We know that the sum of two sides of a triangle is always greater than the third side . Here , the sum of sides is , 24 + 29 = 53 .
The top edge of the window is a semicircle. The distance across the window is 2.5 ft. What is the distance around the top edge of the window? Use 3.14 for π, and round your answer to the nearest tenth.
2.5 ft
3.9 ft
5 ft
7.85 ft
Answer: 3.9 ft
Step-by-step explanation:
From the question, the distance across the window which is 2.5 ft is the diameter. Therefore, radius will be:
= 2.5 / 2
= 1.25 ft
Then, we calculate the circumference of the circle which will be:
= 2πr
= 2 × 3.14 × 1.25
= 7.85 ft
Nite that it's a semi circle, therefore we divide the perimeter by 2. This will be:
= 7.85/2
= 3.9 feet
Answer:
b
Step-by-step explanation:
2. Find the slope from the ordered pairs. (-4, 7).(-6, -4) *
2 1/10
-2 1/1
-1 1/10
11/10
Answer:
Step-by-step explanation:
slope = m
m = y2-y1 / x2 - x1
m = (-4) - 7 / (-6) - (-4)
m = -11 / (-6) + 4
m = -11 / -2
m = 11/2
:)
Select each option that represents a proportional between x and y.
(50 points)
If get all correct (Brainliest)
Answer:
I think that is A and C and F
Solve for x.round to the nearest tenth. 70,6
Answer:
16.5
Step-by-step explanation:
Tan70°=x/6
x=6tan70°
=16.5
Pls HELP I don’t understand :,(
Guided Practice
Solve the compound inequality.
3 ≤ w + 2 ≤ 7
A.
5 ≤ w ≤ 9
B.
1 ≤ w ≤ 7
C.
1 ≤ w ≤ 5
Answer:
C.
1 ≤ w ≤ 5
Step-by-step explanation:
Move all terms not containing
w
from the center section of the inequality.
Inequality Form:
1 ≤ w ≤ 5
Interval Notation:
[ 1 , 5 ]
If angle 3 is 3x and angle 5 is 2x+30, what are the measures of angle 3 and 5?
Answer:
23
Step-by-step explanation:
Storage container J has a diameter of 5.25 and a hight of 6.25 centimeters. Which value is closest to the volume of storage container J?
A.51
B.103
C.135
D.540
Answer:
im not sure
Step-by-step explanation:
Answer:
the answer is 135
Step-by-step explanation:
A triangle has sides with lengths of 5 millimeters, 8 millimeters, and 10 millimeters. Is it a right triangle?
Answer:
It is not.
Step-by-step explanation:
Using the Pythagorean Theorem, a squared + b squared = c squared, we get 25 + 64 = 100, and this is not true.
Find the circumference of the pizza to the nearest whole number. 7 in
What is 20% of 90???
Answer: 18
Step-by-step explanation:
First we want to turn 20% into a decimal so we can multiply it by 90.
So to do that we divide 20 by 100.
20/100=0.2 so 0.2 is the decimal form of 20%.
Then we multiply 90 by 0.2 to get 18 as our answer.
Answer:
Answer: 20% of 90 is 18.
Let's find 20% of 90.
Explanation
20% of 90 can be written as 20% × 90
= 20/100 × 90
= 18
Thus, 20% of 90 is 18.
Step-by-step explanation:
sorry if i get it wrong
I tried my best
A graph of f(x) = 6^2 - 11x + 3 is shown on the grid
What are the zeros of f?
A. 3
B. 2 and 9
C. 11/12
D. 1/3 and 3/2
Christopher's backyard is in the shape of a trapezoid. The bases of the backyard are 30 and 50 feet long. The area of the backyard is 960 square feet. Write and solve an equation to find the height of Christopher's backyard. =12(1+2)ℎ
Answer:
24 feet
Step-by-step explanation:
The formula for the height of a trapezoid =
h = 2A/ a + b
A = 960 square feet
a = 30 feet
b = 50 feet
h = 2 × 960/30 + 50
h = 1920/80
h = 24 feet
please help!!!!!!!!!!!!! due in 5 min!!!!!!!!!!
I need to find its surface are help please I am really stuck and need to complete this assignment
Answer:
114.6
Step-by-step explanation:
Left Side
It's a rectangle.
L = 12 km
w = 5 km
Area = L*W= = 60
Right Side (top)
It too is a rectangle.
L = 10
W = 3
Area = L*W = 30
Triangles
Area = 1/2 * b * h
Area = 1/2 * 12 * 4.1 24.6
Total Area 114.6
(7x+3) (10x-14) HELP PLEASE
Answer:
70[tex]x^{2}[/tex]+30x-140
Step-by-step explanation:
(7x+3) (10x-14)
70[tex]x^{2}[/tex]-98+30x-42
70[tex]x^{2}[/tex]+30x-42-98
70[tex]x^{2}[/tex]+30x-140
Answer:
x = 9
Step-by-step explanation:
These are vertical angles, and thus the angles are equal.
7x + 3 = 10x - 24
Combining like terms, we get
27 = 3x, so that x must be 9.
x = 9
Find the slope of the line containing the points whose coordinates are (1/,) and (1/,) a. Ab b. A+b/ab c. 1/ab d. A-b/ab
Answer:
1/ab
Step-by-step explanation:
Complete question
Find the slope of the line containing the points whose coordinates are(a,1/b) and (b,1/a)
Slope is expressed as;
m = y2-y1/x2-x1
Substitute the coordinate values
m = (1/a - 1/b)/b -a
m = (b-a)/ab ÷ b-a
m = (b-a)/ab × 1/b-a
m = b-1/b-a × 1/ab
m = 1 × 1/ab
m = 1/ab
Hence the slope is 1/ab
