Answer:
$25.03725
Step-by-step explanation:
Step 1: Multiply both sides by %5 to get the raise
26.355 * %5 is same as 26.355 * 0.05
$1.31775 is the raise
Step 2: Subtract the raise from the new salary
26.355 - 1.31775
25.03725
Answer: $25.03725
Determine the center and radius of the following circle equation:
22 + y2 – 10x + 18y + 42 = 0
Answer:
C(5,-9) and r=8.
Step-by-step explanation:
C(p, q) - center
r=radius
k:x^2 +y^2 +dx+ey+f=0
x^2+y^2 - 10x+18y+42=0
d=-10, e=18, f=42
p=-d/2=-(-10)/2=10/2=5
q=-e/2=-18/2=-9
r^2 =p^2+q^2-f
r^2 =5^2 +(-9)^2 - 42
r^2=25+81-42
r^2 =106-42
r^2 =64
r=sqrt(64)
r=8
C(p,q)=C(5,-9) r=8
What was the value of x and y for the following equations? Equation 1: 2/3 (x-6) = 6 Equation 2: 2/3y - 6 = 6 x = 15, y = 15 x = 18, y = 15 x = 18, y = 18 x = 15, y = 18
The value of x is 15 and value of y is 18
Solution:
Given equations are:
[tex]\frac{2}{3}(x - 6) = 6\\\\\frac{2}{3}y - 6 = 6[/tex]
From first equation,
[tex]\frac{2}{3}(x - 6) = 6\\\\Remove\ the\ parenthesis\ and\ solve\\\\\frac{2}{3}x - \frac{2}{3} \times 6 = 6\\\\\frac{2}{3}x - 4 = 6\\\\Move\ the\ constant\ from\ left\ side\ to\ right\ side\\\\\frac{2}{3}x = 6 + 4\\\\\frac{2}{3}x= 10\\\\2x = 30\\\\Divide\ both\ sides\ by 2\\\\x = 15[/tex]
From second equation,
[tex]\frac{2}{3}y - 6 = 6\\\\Move\ the\ constant\ from\ left\ side\ to\ right\ side\ of\ equation\\\\\frac{2}{3}y = 6 + 6\\\\\frac{2}{3}y = 12\\\\2y = 36\\\\Divide\ both\ sides\ by\ 2\\\\y = 18[/tex]
Thus value of x is 15 and value of y is 18
40 pts! please answer asap!
∠A and ∠B are supplementary angles. The measure of ∠A is three time the measure of ∠B.
Part A: Write an equation to represent the supplementary angle relationship between ∠A and ∠B.
Part B: Use the equation to find the measures of ∠A and ∠B.
[tex]\huge{\underline{\mathfrak{\red{Answer}}}}[/tex]
let A=3x then B=x
also given,
A+B=90°
3x+x=90
4x=90
x= 22.5°
then 3x= 3×22.5= 67.5
A= 67.5
B=22.5
Answer:
20 points
Step-by-step explanation:
√2
4
Suppose that $2000 is invested at a rate of 5.1%, compounded semiannually. Assuming that no withdrawals are made, find the total amount after 6 years.
Do not round any intermediate computations, and round your answer to the nearest cent.
Solution:
The formula for compound interest, including principal sum, is:
[tex]A = p( 1 + \frac{r}{n})^{nt}[/tex]
Where,
A = the future value of the investment/loan
P = the principal investment amount
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per unit t
t = the time the money is invested
From given,
p = 2000
[tex]r = 5.1 \% = \frac{5.1}{100} = 0.051[/tex]
t = 6 years
n = 2 ( compounded semiannually)
Substituting the values we get,
[tex]A = 2000( 1 + \frac{0.051}{2})^{ 2 \times 6}\\\\A = 2000( 1 + 0.0255)^{12}\\\\\A = 2000(1.0255)^{12}\\\\A = 2000 \times 1.35278\\\\A = 2705.5649[/tex]
Thus the total amount after 6 years is $ 2705.5649
Final answer:
Using the compound interest with an initial investment of $2000 at a 5.1% interest rate compounded semiannually, the total amount after 6 years is calculated to be $2710.34.
Explanation:
To calculate the total amount after 6 years when $2000 is invested at a rate of 5.1% compounded semiannually, we use the formula for compound interest, which is [tex]A = P(1 + r/n)^(nt).[/tex] Here, A represents the future value of the investment, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time the money is invested for in years.
We can plug the values into the formula:
P = $2000 (the initial investment)
r = 0.051 (5.1% interest rate expressed as a decimal)
n = 2 (since the interest is compounded semiannually)
t = 6 (the investment period in years)
Therefore, we calculate A using the following expression:
[tex]A = 2000(1 + 0.051/2)^(2*6)[/tex]
[tex]A = 2000(1 + 0.0255)^(12)[/tex]
[tex]A = 2000(1.0255)^12[/tex]
After calculating the above expression without rounding intermediate computations and rounding the final answer to the nearest cent, the total amount comes out to be:
A = $2710.34
Thus, the total amount after 6 years, with a 5.1% interest rate compounded semiannually, is $2710.34.
How do you model 18 more than 27 on the number line?
Answer:
Step-by-step explanation:
make 18 a positive number on the number line and 27 a negative number on the number line
which equations have the same solution as 2/3 -x+1/6=6x
Answer:
x=0.11
Step-by-step explanation:
2/3-x+1/6=6x
2/3+1/6=6x+x
2/3+1/6=7x
0.83=7x
0.83/7=x
0.11=x
solve the equation 14z=224
Answer:
16
Step-by-step explanation:
224/14=16
Answer: z=16
Step-by-step explanation:
take 224 and divide it by 14, whatever the answer is, equals z
Rope costs $0.65 per foot.How much do 10.8 feet of rope cost?
Answer:
$7.02
Step-by-step explanation:
So we know that one foot of rope costs $0.65, and we are trying to fin the cost of 10.8 feet of rope. To find the cost of 10.8 feet of rope, we would multiply the length of the rope (in feet) and multiply it by the cost of one foot of rope. The length of the rope is already given to us in feet, so now we just need to multiply it by the cost per foot ($0.65).
$0.65 × 10.8 = ($0.65 × 10) + ($0.65 × 0.8) = $6.5 + $0.52 = $7.02
The cost of 10.8 feet of rope would be $7.02.
I hope this helps. :)
The required, 10.8 feet of rope costs $7.02.
What is arithmetic?Arithmetic is a constituent of mathematics that deals with the study of numbers, their properties, and their operations, it involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.
To find the cost of 10.8 feet of rope at $0.65 per foot, we can multiply the length of the rope by the cost per foot:
Cost of 10.8 feet of rope = 10.8 feet x $0.65/foot
= $7.02
Therefore, 10.8 feet of rope costs $7.02.
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Evaluate the expression.
(132−122)÷5
The value of the expression___ is
Final answer:
The value of the expression (132-122)÷5 is 2 after performing the subtraction followed by division.
Explanation:
Evaluating the expression (132−122)÷5 involves two operations: subtraction and division.
First, we subtract 122 from 132, which gives us 10.
Then, we divide the result by 5.
The division of 10 by 5 yields 2.
Therefore, the value of the expression (132−122)÷5 is 2.
The table below shows the cost of different numbers of goldfish at a pet store.
5----$1.50
10---$3
15---$4.50
20---$6
Which statement describes the rate of change of this function?
A.
The cost increases $3.00 each time 5 goldfish are added.
B.
The cost increases $0.30 each time 1 goldfish is added.
C.
The cost increases $6.00 each time 5 goldfish are added.
D.
The cost increases $1.50 each time 1 goldfish is added.
On the field trip, there are 225 students loaded onto 5 buses. Select the answer that shows the ratio of students to buses in simplest form
Answer:
45:1
Step-by-step explanation:
Here is a balanced hanger:
If a square weighs 5 grams, and a triangle weighs 2 grams, how much does a circle weigh?
I don't know exactly i think its either 3 grams or 7 grams or 2 1/2 grams
sorry if its wrong
If each cube represents 0.25 in3, what is the volume of the prism?
A) 6 in3
B) 12 in3
C) 48 in3
D) 75 in3
Answer:B
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
i did the test and got it right
Which three length cannot be the length of the sides of a triangle
The missing choices are here
A. 23 m, 17 m, 14 m
B. 11 m, 11 m, 12 m
C. 5 m, 7 m, 8 m
D. 21 m, 6 m, 10 m
Answer:
21 m, 6 m, 10 m cannot be the length of the sides of a triangle ⇒ D
Step-by-step explanation:
There is a fact to form a triangle:
The sum of the lengths of the two smaller sides must be greater than the length of the third side
A.
∵ The smallest sides are 14 m and 17 m
∵ Their sum = 14 + 17 = 31 m
∵ The third side is 23 m
∵ 31 > 23
∴ 23 m, 17 m, 14 m can be the length of the sides of a triangle
B.
∵ The smallest sides are 11 m and 11 m
∵ Their sum = 11 + 11 = 22 m
∵ The third side is 12 m
∵ 22 > 12
∴ 11 m, 11 m, 12 m can be the length of the sides of a triangle
C.
∵ The smallest sides are 5 m and 7 m
∵ Their sum = 5 + 7 = 12 m
∵ The third side is 8 m
∵ 12 > 8
∴ 5 m, 7 m, 8 m can be the length of the sides of a triangle
D.
∵ The smallest sides are 6 m and 10 m
∵ Their sum = 6 + 10 = 16 m
∵ The third side is 21 m
∵ 16 < 21
∴ 21 m, 6 m, 10 m cannot be the length of the sides of a triangle
Classify a triangle with angle measures of 63 degrees and 27 degrees.
A) Acute
B) Obtuse
C) Right
D) Not Possible
Yo sup??
63+27=90
therefore the other angle is 90
Hence it's a right angled triangle
correct answer is option C
Hope this helps
Kyra has a manufacturer's coupon for $5 off a box of diapers and a store coupon for 20% off any purchase. The store will let you use both coupons, but it does not have a policy about which coupon you must use first. What order should she use the coupons to get the maximum discount on a $40 box of diapers?
Answer: 20% of $40 is $8-$5=$3 or $40-$5=$35 and 20% of $35 is $7.
Step-by-step explanation: Based on this math you would want to apply the 20% discount first.
Solve for x.
8 - 4x - 28 = 4
x=_________
Answer:
x=6
Step-by-step explanat
If a quadratic function has the vertex (-1,3), what is the equation of its axis of symmetry
Check the picture below.
Two numbers are in the ratio of 3:4. If 9 is subtracted from their sum, the result is 40. What is the greater number?
F. 35
G.21
H.28
J.49
Answer:
H.28
Step-by-step explanation:
x : y = 3 : 4
=> 4x=3y => x=3y/4 -----(1)
(x+y)-9=40
=>x+y=49
using (1)
3y/4 +y= 49
y=28
substituting y in (1)
x=21
hence 28 is greater.
Find the degree of the term 8x^4
Answer:
4
Step-by-step explanation:
The degree of any variable is its power/exponent/index/indices
Which of the following defines liquid measure?
A. The measure of how much space is filled by an object
B. Units used to measure the volume of liquids, such as water, gasoline, and
milk
C. The volume of space inside a container
D. How heavy an object is
Liquid measure refers to the units used for measuring the volume of liquids such as liters, milliliters, etc. It's closely tied to the concept of volume, which is the amount of space that an object, liquid or solid, occupies.
Explanation:Liquid measure is defined as B. Units used to measure the volume of liquids, such as water, gasoline, and milk. This concept is related to the broader idea of volume, which is the measure of the amount of space occupied by an object, regardless of its state of matter. Let's say we want to measure the volume of water we're pouring into a jug. The volume units we would use (liters, milliliters, etc.) are examples of a liquid measure. Similarly, if we are filling a car's gas tank, the liters or gallons dispensed would be a liquid measure too.
Another example is milk that is sold in containers of varying volumes, from small cartons to large gallons. Each of these volumes is a measure of liquid. So, when we talk of liquid measure, we're looking at how much space a certain quantity of liquid occupies which is generally determined in liters, milliliters or sometimes cubic meter (m³).
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Grace starts with 100 milligrams of a radioactive substance. The amount of the
substance decreases by each week for a number of weeks, w. She writes the
expression 100(-)w to find the amount of radioactive substance remaining after w
weeks.
Ryan starts with 1 milligram of a radioactive substance. The amount of the substance
decreases by 40% each week for a number of weeks, w. He writes the expression (1 -
0.4)" to find the amount of radioactive substance remaining after w weeks.
Use the drop-down menus to explain what each part of Grace's and Ryan's
expressions mean.
Answer:
100 is grace's initial amount. w is how much of the substance is being decrased each week. in ryan's equation, 1 is 100% of the substance, so the initial amount, and 0.4 is the amount that is being decreased.
Step-by-step explanation:
Answer:
100= Initial Amount
1/4= decay factor for each week
w= number of weeks
1/4w= decay factor after w weeks
1 - 0.4= decay factor for each week
w= number of weeks
0.4= percent decrease
Step-by-step explanation:
A recipe calls for 2 cups of flour of flour to make 3 dozen cookies. Is 3 cups of flour enough to make 60 cookies?
Answer:
no it is not
Step-by-step explanation:
it would be 54
Answer:
No
Step-by-step explanation:
2 cups of flour --> 36 cookies
3 cups of flour ----> x
2/3 = 36/x
x = 54 cookies
3 Cups of flour yields 54 cookies, but its not enough flour for 60 cookies.
What is the length of the unknown leg in the right triangle? A right triangle has a side with length 8 feet, hypotenuse with length StartRoot 73 EndRoot feet, and side labeled a. 3 ft StartRoot 57 EndRoot ft StartRoot 65 EndRoot ft 9 ft
Answer:
It’s A
Step-by-step explanation:
Right on edge
Which of the following expressions means "five factors of 3"?
35
0
05=3
[tex]\text{Hey there!}[/tex]
[tex]\large\text{Which of the following expressions means \underline{five factors of 3} ?}[/tex]
[tex]\large\text{Basically, it is telling you that 3 is expressed as it rises to the 5th}\\\large\text{power}[/tex]
[tex]\large\text{Based on SOME of the stuff we gathered above, we solved your}\\\large\text{equation/ question!}[/tex]
[tex]\boxed{\boxed{\mathsf{Your\ answer: \boxed{\mathsf{3^5}}}}}\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Complete the table below
Answer:
10 100 1,000
30 60 1,800
40 40 1,600
Step-by-step explanation:
First you take each width and multiply it by 2 to get both widths.
Then you take 120 and subtract each width from it because it's 120 feet for the entire fence.
Next you end up with the length.
Finally you multiply the length by the width to get the area.
please someone help me !! :(
Answer: 27 times bigger.
Step-by-step explanation:
You need to use the following formula to find the volume of a Square pyramid:
[tex]V=\frac{1}{3}s^2h[/tex]
Where "s" is the edge of a side of the square base and "h" is the height of the pyramid.
Knowing that:
[tex]s_A=12\ in\\\\h_A=8\ in\\\\\\s_B=36\ in\\\\h_B=24\ in[/tex]
You can find the volume of the Pyramid A and the volume of the Pyramid B:
[tex]V_A=\frac{1}{3}(12\ in)^2(8\ in)\\\\V_A=384\ in^3\\\\\\V_B=\frac{1}{3}(36\ in)^2(24\ in)\\\\V_B=10,368\ in^3[/tex]
Finally divide the volume of the Pyramid B and the volume of the Pyramid A, in order to find how many times bigger than the Pyramid A is the Pyramid B.
You get:
[tex]\frac{10,368\ in^3}{384\ in^3}=27[/tex]
If your company sells basketballs. You sell
123,000 basketballs at a price of $42.50 each.
You have bills for your business equal to
$575,000. What is your profit?
123,000 x 42.50 = 5227500
5227500-575,000=4652500
your profit is 4652500
Hope this helps
Martin kept track of the number of times he had to flip a coin before it landed tails up.
Number of Flips to Land Tails Up
1
2
3
4
Which is a true statement about the dot plot?
*
Six times it took 4 flips of the coin to land tails up.
Twice it took 4 flips of the coin to land tails up.
It took 6 flips of the coin to land tails up more often than any other number of flips.
The greatest number of flips it took to land tails up was 6.
Answer:
The dot plot of flip times increased gradually between 1, 2 and 3. The dot plot grew sharply from 3 to 4 and then 6.
Step-by-step explanation:
There are only 5 probabilities. It took Martin 1,2,3,4 and 6 flips to land a tail up. That 1,2,3 times of flips to land a tail up happened once. 4 times of flips to land a tail up happened 8 times. The greatest number of flips took to land tails up was 6 but the question didn't give details how many times it happens.
Answer:
the answer is A just took a quiz.
Step-by-step explanation:
Aiden borrows a book a public library. He read a few pages on day one. One day two, he reads twice the number of pages than he reads on one day. On the third day, he reads six pages less than what he read on the first day. If he read the entire book that contains 458 pages how many pages did he read on day three
Answer:
110 pages
Step-by-step explanation:
Day 1 =x
Day 2 =2x
Day 3 =x-6
(x)+(2x)+(x-6)=458
Add likes together.
4x-6=458
4x=464. Divide both sides by 4 to get x. X=116
Day 3=116-6=110