Answer:
18.86 meters
Step-by-step explanation:
circumference of a circle = πD
π = 22/7
D = Diameter = 6
22/7 x 6 = 18.86 meters
Use the distributive property to remove the parentheses.
- 4(5u - 3y-1)
Answer:
-20u + 12y + 4
Step-by-step explanation:
We have the equation -4(5u - 3y - 1) and are asked to use the distributive property to remove the parenthesis.
When using the distributive property, you have to multiply the number outside the parenthesis to all numbers inside the parenthesis, do as followed :
-4(5u - 3y - 1)
(5u(-4) -3y(-4) -1(-4))
-20u + 12y + 4
A business has a savings account that earns a 3% annual interest rate. At the end of 1996, the business had $4,000 in the account. The formula
F = p (1+r/100)
t is used to determine the amount in the savings account.
F is the final amount,
p is the initial investment amount,
r is the annual interest rate, and
t is the time in years.
To the nearest dollar, how much did the business initially invest in 1991?
A. $3,450
B. $3,455
C. $4,631
D. $4,637
Answer:
The amount the business initially invested in 1991 is approximately;
A. $3,450
Step-by-step explanation:
The question relates to investment and finance
The parameters given are;
The annual interest rate on the business savings account = 3%
The amount the business had in the account at the end of 1996 = $4,000
The given formula used to determine the final amount in the savings account, [tex]F = p \cdot \left(1 + \dfrac{r}{100} \right )^t[/tex]
Where;
F = The final amount
p = The initial (principal) investment
r = The annual interest rate
t = The time in years
Therefore, we have;
The required information = The initial amount, 'p', the business invested in 1991
The time in years, 't', from 1991 to 1996 = 1996 - 1991 = 5
∴ The time in years from 1991 to 1996, t = 5 years
The final amount in 1996, F = $4,000
r = 3%
Plugging in the values in the given equation gives;
[tex]4000 = p\cdot \left(1 + \dfrac{3}{100} \right )^5[/tex]
Therefore;
[tex]p = \dfrac{4000}{\left(1 + \dfrac{3}{100} \right )^5} = 3,450.43513754[/tex]
To the nearest dollar, the initial amount the business invested in 1991, p ≈ $3,450.
Solve the following quadratic equation for all values of xx in simplest form.
4(x-2)^2=16
Answer:
[tex]x=4,\:x=0[/tex]
Step-by-step explanation:
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4\left(x-2\right)^2}{4}=\frac{16}{4}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex](x-2)^{2} =4[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=4,\:x=0[/tex]
Tell me if it's censored since my wifi is terrible.
The chorus at an elementary school is made up on fifth and sixth graders. This year, the chorus had 12 fifth-grade girls, 9 fifth-grade boys, 14 sixth-grade girls, and 10 sixth-grade boys.
Find the following ratios:
a. The ratio of boys to girls
b. The ratio of fifth graders to sixth graders
c. The ratio of girls to the total number of students in the chorus
Answer:
A: 19:26 B:7:8 C:26:45
Step-by-step explanation:
Question A
First to find the ratio between the boys and girls you would add all of the different groups with boys and girls. This would be done by,
Boys
9+10=19
Girls
12+14=26
Now that you have the total number of boys and girls you make this ratio,
19:26
That is the final answer
Question B
For this it is very similar to the boys to girls ratio. You still add the total on each side and then form a ratio. From before you would start by adding both of the different sides which would be done by,
Fifth Graders
12+9=21
Sixth Graders
14+10=24
Now that you have the total number of both of the different grades you make this ratio,
21:24
You can simplify this by finding the lowest common factor which would be
7:8
Question C
To answer this it is very similar to the first two but instead you will find one group and all of the groups to form the ratio. Now you need to add all of the people in each of the groups.
Girls
12+14=26
All
12+9+14+10=45
Now with the total number of both you will form a ratio
26:45
This is your final answer because you cant simplify this any further
Solve with substitution. Show each step of your work
4x + y = 12
6x + 2y = 18
MATH HELP ASAP!!! MARKING BRAINLIEST
rlly EZ PTS JUST do the first 1 and ty
Answer:
This is a rational expression
Can anybody help me please
Step-by-step explanation:
I think you are clear. You can follow me to get more answers. Thanks.
Help please I’ll give points
Answer:
3 and 8 are supplementary
4 is congruent to 8
3 is congruent to 1
some one help i will be posting other ones to
Answer:
I think the answer is E
Step-by-step explanation:
What does AB equal in this problem? It’s timed
Answer:
For angle B which is 50 degrees,
hypotenuse = AB =?
Adjacent = BC = 2 units......(given)
cos 50 = adjacent / hypotenuse
0.643 = 2 / AB. .....(as cos 50 = 0.643 approx)
AB * 0.643 = 2
AB = 2 / 0.643
AB = 3.11 units(approx)
PLEASE HELP ASAP. I NEED TO KNOW NOW
Detemine which equation has the same solutions as the equation below.
4x^2+32x-28=0
Answer:
the answer is x1 = -4- square root of 23 x2= -4+ square root of 23
Rowenas new kitten weights 12 times as much as her hamster. The conbines weight of the kitten and thw hamster is 468 grams. What is the weight of the kitten
Answer: 36
Step-by-step explanation: 36x12=432
432+36=468
In square units, what is the area of the shaded region in the figure above? Round to the nearest tenth.
Answer:
85.5
Step-by-step explanation:
Line perpendicular to y=2x+8
In 1920, a woman had 4 daughters. In 1950, each daughter had 3 daughters. In 1980, each of their daughters had 3 daughters. Finally, in 2010, each of their daughters had 3 daughters.
How many daughters were born in 2010? Explain how you determined your answer.
Answer:
108
I determined my answer by multiplying 4 x 3 x 3 x 3 = 108
Step-by-step explanation:
daughters born in 1950 = 4 x 3 = 12
daughters born in 1980 = 12 x 3 = 36
daughters born in 2010 = 36 x 3 = 108
A line passes through the points (3, 2) and (6, 1). What is the slope of a line that is perpendicular to this line?
Answer:
i hope the ans helps you.
plz answer it will help alot
You and your friend decide to go to Red Robin to eat. You are both part of the rewards club and receive coupons in the mail. You have a coupon a coupon for 10% off the total bill. Your friend has a coupon for $5 off the total bill. Which coupon should you use to save the most money if the total bill was $29.90?
Answer:
you should use the 10% off coupon to get the most taken off your total bill.
Step-by-step explanation:
good luck!
Here is the question
Answer:
A im pretty sure
Step-by-step explanation:
mark me brainliest please lol
this dot plot is symmetric and the data set has no extreme values what is the best measures of center for this dot plot
Answer:
Step-by-step explanation:
all i know is that it is not the IQR maybe its the MAD but im not sure
Answer:
It's B
Step-by-step explanation:
I took the test and I got it right. No problem :D
a^2+b^2= 70?
what is a and b?
Answer:
a= (square root symbol) 70-b^2
b= (square root symbol) 70-a^2
Step-by-step explanation:
i used m athway :)
Wsg Katara I missed you Fr, everything been going alright? Hit me up when you get the chance.
Select the correct answer.
Which of the following sets of ordered pairs represents a function?
A.
{(-12,8), (-15,8), (-5,-8), (-12,-8)}
B.
{(8,-9), (-8,-5), (8,-7), (-8,-6)}
C.
{(13,-3), (13,0), (13,-1), (13,-1)}
D.
{(-9,8), (-5,-8), (-7,8), (-6,-8)}
Answer: C
Step-by-step explanation: Hope this help :D
Answer:
try c or d?
Step-by-step
Which value could be substituted for x in order to make the inequality true? 8 < x < 8.5
Answer:
8 < 8.2 <8.5
Step-by-step explanation:
Pick a number that is greater than 8 but less than 8.5.
Ex: 8.1, 8.2, 8.3, 8.4
A system of equations is shown below.
x+y=5
73 +8y= 37
Which of the following are valid first steps in an algebraic method to solve the system of equations?
Answer:
the answer is C
Step-by-step explanation:
hope it helped!!!
describe how a root ca be written using rational expressions, give an example
Answer:
Given an expression with a rational exponent, write the expression as a radical. Determine the power by looking at the numerator of the exponent. Determine the root by looking at the denominator of the exponent. Using the base as the radicand, raise the radicand to the power and use the root as the index
Step-by-step explanation:
example
Teresa is investing $20,000 in an account with 4.3% interest rate that is compounded monthly. How much money will she have if she takes her money out after 8 years?
Answer:
Teresa will have $28,200 if she takes her money out after 8 years.
Step-by-step explanation:
To be able to find the answer, you have to use the formula to calculate the future value:
FV=PV(1+i/n)^(n*t)
FV=future value
PV=present value= $20,000
i=interest rate= 0.043
n=number of compounding periods per time unit= 12
t=time in years= 8
Now, you can replace the values on the formula:
FV=20,000*(1+(0.043/12)^(12*8)
FV=20,000*1.41
FV=28,200
According to this, the answer is that Teresa will have $28,200 if she takes her money out after 8 years.
If h = 2, what is 3x (4 - h)?
Answer:
3x(2)
Step-by-step explanation:
6_7/8 + 9_5/16 pls help
Answer:
it is 16_3/6
Step-by-step explanation:
basic addition.
how do i work it What are the coordinates of the image of vertex C after a dilation with center (0,0) and scale factor 2? 10 A(-2. 6) B(3.5) D(-4, 2) C(3.2) - 10 - 8 6