Answer:
7988.16
Step-by-step explanation:
This is a matter of plugging in numbers.
P = 7000 (starting value)
l = 0.045 (rate)
t = 3 (number of years)
A(t) = 7000(1 + 0.045)^3
A(t) = 7000(1.045)^3
After three years, William will have 7988.16
The amount in William's account after 3 years with compound interest will be $7,988.16. Hence the correct option is B.
The compounded interest formula is:
A(t) = P(1 + i)^t
where P is the principal amount ($7000), i is the interest rate (4.5% or 0.045), and t is the time in years (3).
Calculate the total amount:
A(3) = 7000(1 + 0.045)^3
A(3) = 7000(1.045)^3
A(3) = 7000 * 1.144976125
A(3) = $7,988.16
Which of the values for x and y make the equation 3x + 4y + 6 = 26 true?
x = 4, y = 2
x = 5, y = 6
x = 4, y = 3
x = 3, y = 5
Choose all that give the correct expression.
A) Steven lost four $10 bills, and now he has −$40. −4 × 10
B) If I lose 8 pounds per month for 3 months, my weight will change −24 pounds total. 3 × (−8)
C) Sarah spends $2 for each fare on the commuter train. She rides the train 10 times during a week. 2 × (−10)
D) Pat and Amy were on a diet for 4 months. Pat lost an average of 3 pounds a month, and Amy lost an average of 4 pounds a month. 4((−3) + (−4))
Answer:
the answer would be A B and D
Step-by-step explanation:
had to figure it out myself -.-
how to solve -6<-2x<14
Dexter has a gift card for $20.00 to an electronics store. He also has a coupon for 25% off his entire purchase, so he will be paying 75% of the total cost. He plans to buy a video game for $10.00 and batteries for $2.00. Select the equation that represents how much money will be left on his gift card after his purchases if x represents his remaining balance.
Answer:
The linear equation that represent the situation is [tex]x=20-0.75(10+2)[/tex]
The remaining balance on his gift card is [tex]\$11[/tex]
Step-by-step explanation:
Let
x------> represents the remaining balance
we know that
The linear equation that represent the situation is equal to
[tex]x=20-0.75(10+2)[/tex]
Solve
[tex]x=20-0.75(12)[/tex]
[tex]x=20-9[/tex]
[tex]x=\$11[/tex]
Answer:
its B
Step-by-step explanation:
PLEASE HELP!! surface area of composite figures..
Cut the shape into shapes you know the area of and do the formula this helps
The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?
The volume of a cube is found with the following formula:
[tex] l \times w \times h [/tex]
The length, width, and height must all be the same value in a cube. This means that you can replace variables l, w, and h with one variable, s:
[tex] \boxed{s} \times s \times s = s^3 [/tex]
The expression s can represent the length of a side of the cube.
The expression represents s, the length of a side of the cube is [tex]\rm s^3=64[/tex].
What is the volume of the cube?The volume of the cube formula is:
The volume of a Cube = Length × Width × Height
The volume of a cube is 64 cubic inches.
where s is the length of a side of the cube.
The side of the cube is;
[tex]\rm The \ volume \ of\ a\ Cube = Length \times Width \times Height \\\\ The \ volume \ of\ a\ Cube =s \times s \times s\\\\The \ volume \ of\ a\ Cube =s^3\\\\s^3=64[/tex]
Hence, the expression represents s, the length of a side of the cube is [tex]\rm s^3=64[/tex].
Learn more about the volume of cube here;
https://brainly.com/question/16670955
#SPJ3
A bargain bin contains classical and rock and CDs. There are 60 CDs in the bin. Choosing a rock CD have the same number of favorable outcomes. How many rocks CDs are in the bin
The bin should contain 30 rock CDs, which constitutes half of the total CDs (60). This conclusion is reached by dividing the total number of CDs by 2, as the question implies an equal probability of picking a rock or classical CD.
Explanation:The question pertains to the concept of probability in mathematics. Here, the total number of CDs is specified as 60. If choosing a rock CD has the same number of favorable outcomes, it means that half of the CDs are rock CDs (as the other half would then be classical CDs). So, to find the number of rock CDs in the bin, you simply divide the total number of CDs by 2. Here, 60 CDs divided by 2 equals 30. Thus, there are 30 rock CDs in the bin.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ12
Which graph represents the given inequality?
y > 4x - 2
what is equivalent to sin^-1(sqrt.3/2)
Answer:
[tex]\frac{\pi }{3}[/tex]
Step-by-step explanation:
[tex]sin^{-1}(\frac{\sqrt{3} }{2})[/tex]
In, 30-60-90 degree triangle ,
the sides are in the ratio [tex]1: \sqrt{3} :2[/tex]
[tex]sin(60)= \frac{opposite}{hypotenuse}[/tex]
for 60 degree, opposite side = square root (3)
hypotenuse = 2
So [tex]sin(60)= \frac{\sqrt{3}}{2}[/tex]
when we move sin to the other side then it becomes sin^-1
[tex]60= sin^{-1}\frac{\sqrt{3}}{2}[/tex]
angle 60 degree is [tex]\frac{\pi }{3}[/tex]
[tex]sin^{-1}(\frac{\sqrt{3} }{2})=\frac{\pi }{3}[/tex]
The expression that is equivalent to sin⁻¹(sqrt. 3/2) is π/3.
What is the equivalent expression?The expression that is equivalent to another is one that yields the same output no matter the arrangement of the figures and signs.
For the expression, sin⁻¹(sqrt. 3/2), the equivalent can be obtained thus;
sin 60 = opposite/hypotenuse
sin 60 = √3/2
60 = sine⁻¹√3/2
= π/3.
Learn more about equivalence here:
https://brainly.com/question/28047461
#SPJ6
SOMEONE HELP ME FOR 50 POINTS AND I WILL GIVE BRAINLIEST ANSWER WHOEVER EXPLAINS HELP HELP HELP HELP HELP!!!!!
ayeee i know you i think
Please give accurate answer. I will give Brainliest. 20 points for answer.
You have to travel 3/4 mile to get home. Each city block is 1/20 mile long. How many blocks do you have to travel?
rate of 33.00 for 11 pounds of meat
the sum is a prime number the sum is less than 4
There is no such sum of two numbers that is a prime number and less than 4.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
It is not possible to have a sum of two numbers that is a prime number and less than 4.
The only possible sums of two numbers less than 4 are:
1 + 1 = 2
1 + 2 = 3
2 + 2 = 4
Out of these, only 2 and 3 are prime numbers.
However, the sum of any two numbers less than 4 that is equal to 2 or 3 necessarily involves at least one number equal to 1, and 1 is not a prime number.
Therefore,
There is no such sum of two numbers that is a prime number and less than 4.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
the cost of $27 to produce 2 cameras $105 to produce 4 cameras whats the total cost to produce 5 cameras
Please Answer if you can!
I have 5 questions.
1. Ron is seeking a loan with a simple interest rate of 7% per year. He wants to borrow $4,500.
How much will he be charged in interest after 36 months?
A. $9,450
B. $945
C. $11,340
D. $5,445
2. In Texas the state sales tax rate is 6%. Beth purchases a washing machine at $420.00 and a dryer for $360.00.
How much will Beth's total be including state sales tax?
A. $445.20
B. $826.80
C. $780.00
D. $46.80
3. Mrs. Garland bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping, was $77.49. Each shirt costs $12.25. There was no sales tax on the purchase. Which equation can be used to find x, total number of shirts purchased?
A. 3.99x + 2.25 = 77.49
B. 3.99(x + 12.25) = 77.49
C. 12.25x + 3.99 = 77.49
D. 12.25(x + 3.99) =77.49
4. Efua and Ngozi go to McDonalds. They each order 1 item off the $1 menu. How much will they pay with 8% tax?
A. $0.16
B. $2.08
C. $54
D. $2.16
5. Hanane eats at a restaurant. The service is poor, so she only leaves a 5% tip on a $50 bill. What was the total bill including tip?
A. $52.50
B. $25
C. $2.50
D. $55
Thanks!
for 1 i got $945.
For 2 i got $826.80.
For 3 i got c.
For 4 i got $2.16.
For 5 i got $52.50
Darnell rented a moving truck.The weight of the empty truck was 7,860 pounds.When Darnell filled the truck with his items,it weighed 6 tons.what was the weight in pounds of the items was Darnell placed in the truck? show the work
please help
given center of m below you can conclude that ml is congruent to
A. center of m
B. ma
C. jr
D. el
Answer:
B. ma
Step-by-step explanation:
In a circle, equal chords are equidistant from the centre.
In the given circle, OE = JR = 3.8.
Therefore, chords OE and JR are equal.
Hence, they should be equidistant from the center.
Their distances from the center are:
ML and MA
So, ML is congruent to MA.
On a number line, point S has coordinate –1.6 and point T has coordinate –6.5.
Which expressions represent the distance between point S and point T?
Choose all answers that are correct.
A. [1.6+(-6.5)]
B. [-1.6-(-6.5)]
C. [-6.5-(-1.6)]
D. [-6.5-1.6]
Answer:
I am 96 percent it is c
Hope this helped!!!!
What is the square root of 2290
The radius of circle O is 24,and OC = 11. What is the length of AB?
Answer: The correct option is (A) 42.7 units.
Step-by-step explanation: Given that the radius of the circle center at O is 24 units and OC is 11 units.
We are to find the length of chord AB.
We have,
in the right-angled triangle OCB (m∠OCB = 90°),
OB = 24 units and OC = 11 units.
Using Pythagoras theorem in ΔOCB, we have
[tex]OB^2=OC^2+BC^2\\\\\Rightarrow BC=\sqrt{OB^2-OC^2}\\\\\Rightarrow BC=\sqrt{24^2-11^2}\\\\\Rightarrow BC=\sqrt{576-121}\\\\\Rightarrow BC=\sqrt{455}\\\\\Rightarrow BC=21.33.[/tex]
Since OC is perpendicular to chord AB, so AC = BC.
Therefore, we get
[tex]AB=AC+BC=2\times BC=2\times 21.33=42.66=42.7.[/tex]
Thus, the required length of AB is 42.7 units.
Option (A) is CORRECT.
Is there a direct proportion in 2y-5=x? If there is one, what is the constant of proportionality?
PQ bisects ∠SPY. m∠SPQ =[tex] \frac{11}{2}
[/tex] x-5 and m∠YPQ= 4x- [tex] \frac{5}{2} [/tex]
Solve for x and find m∠SPY
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
Help I don’t know the answer (only answer if you know what it truly is)
What does the absolute value of a number tell you
the annual health insurance premium for Ms. Everett is $12,304 her employer says 70% of the premium and deducts the remainder from her paycheck Ms. Everett is paid monthly what amount is deducted from Ms. Everett paycheck for her health insurance premium.
$141.97
$307.60
$331.26
$717.73
To find the amount deducted from Ms. Everett's paycheck for her health insurance premium, calculate 70% of the annual premium, subtract the employer's contribution, and divide by 12 for the monthly deduction, resulting in $307.60. The correct answer is B.
To calculate the amount deducted from Ms. Everett's paycheck for her health insurance premium, first, find 70% of the annual premium:
70% of $12,304 = 0.70 x $12,304 = $8,612.80
The remainder that Ms. Everett must pay is the annual premium minus the employer's contribution: $12,304 - $8,612.80 = $3,691.20
Since Ms. Everett is paid monthly, divide the annual amount by 12 to find the monthly deduction: $3,691.20 ÷ 12 = $307.60
Therefore, the amount deducted from Ms. Everett's paycheck for her health insurance premium is $307.60.
What is radius???????
A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Set up the formula for the area of a circle. The formula is A = π r 2 it equals the area of the circle, and r equals the radius.
Solve for the radius.
Plug the area into the formula.
Divide the area by.
Take the square root.
Determine the length of the missing side in each of the right triangles below using the Pythagorean Theorem: a2 + b2 = c2.
Using polar coordinates to find area inside a rectangle.
The vertices are (0,0), (0,4), (2,4), (2,0).
This is a calculus level question, please help :(
Use the vertices to find the length and width of the rectangle:
Length = (0,0) (0,4) = 0-0 = 0, 4-0 = 4
Length = 4
Width = (0,0) (2,0) = 2-0 = 2, 0-0 = 0 = 2
Width = 0
Area = 4 x 2 = 8 square units
You ask randomly chosen students which candidate they will vote for in the upcoming election. A total of 50 students in the sample said they will vote for Candidate A. There are 2500 students in the school. Find the number of students in the sample who said they will vote for Candidate C. Then predict the number of students in the school who will vote for Candidate C.
You ask randomly chosen students which candidate they will vote for in the upcoming election. A total of 50 students in the sample said they will vote for Candidate A. There are 2500 students in the school. Find the number of students in the sample who said they will vote for Candidate C. Then predict the number of students in the school who will vote for Candidate C.
Final answer:
The sample size is calculated to be 200 based on the percentage for Candidate A. From the sample, 120 students said they will vote for Candidate C. Predicting based on this sample, 1,500 students in the school will vote for Candidate C.
Explanation:
To find the number of students in the sample who said they will vote for Candidate C, we need to use the percentages given for each candidate. If Candidate A is 25%, Candidate B is 15%, and Candidate C is 60%, and knowing that 50 students in the sample voted for Candidate A, we can determine the total sample size. Since Candidate A represents 25% of the sample, we can calculate the total sample size using the equation 50 = 0.25 × (total sample size). Solving for total sample size gives us 200.
With the sample size known, we can calculate the number of students who said they will vote for Candidate C by taking 60% of 200, which is 120 students in the sample. To predict the number of students in the school who will vote for Candidate C, we use the proportion of the sample who choose Candidate C to estimate the proportion for the entire school population. Since there are 2,500 students in the school, we predict that 60% of 2,500 will vote for Candidate C, which amounts to 1,500 students.