Answer:
The interest is 634.13.
Step-by-step explanation:
Amount deposit , P = 5000
Interest, R = 4 % so, R = 4/4 = 1 %
Time, T = 3 years quarterly
n = 3 x 4 = 12
Let the amount is A.
Use the formula of the compound interest
[tex]A = P \left ( 1 + \frac{R}{100} \right )^n\\\\A = 5000 \left ( 1 + \frac{1}{100} \right )^{12}\\\\A = 5634.13[/tex]
So, the interest is
I = A - P = 5634.13 - 5000 = 634.13
Key West, Florida to Seattle, Washington is 3,518 miles. If it
takes 51 hours to drive there, what is the average speed?
Answer:
69 miles/hour
Step-by-step explanation:
Average speed = Total distance travelled / Total time taken
Distance travelled = 3,518 miles
Time taken = 51 hours
Average speed = Total distance travelled / Total time taken
= 3,518 miles / 51 hours
= 68.980392156862
Approximately,
Average speed = 69 miles/hour
Answer: 69 miles/hour
Step-by-step explanation:
Find the value of x that will make A||B.
Please help!
Answer:
x=30
Step-by-step explanation:
Hi there!
For A to be parallel to B, 5x would be equal to 3x+60. (If they were parallel, these two angles would be alternate exterior angles, which are equal.)
[tex]5x=3x+60[/tex]
Subtract 3x from both sides
[tex]5x-3x=3x+60-3x\\2x=60[/tex]
Divide both sides by 2
[tex]x=30[/tex]
I hope this helps!
знайка и незнайка розв'язували задачі з математики,знайка розв'язав 15\19 усіх задач.Скільки всього задач розв'язали Знайка і Незнайка,якщо Знайка розв'язав на 44 задачі більше,ніж Незнайка?
help!!!!!
Describe the graph of the function. y = VX-6 +2
I NEED HELP ASAP
Answer:
First answer choice: [tex]y=\sqrt{x}[/tex] shifted right 6 units and down 2 units.
Step-by-step explanation:
Graph
Drag the operator to the correct location on the image.
Which operation results in a binomial?
The correct answer is to drag The Plus sign (+)
What is an Operator?This has to do with the use of symbols to denote mathematical equations such as addition, subtraction, etc.
Hence, we can see that the correct position to put the operator on the image to result in a binomial is to drag the plus sign (+) so that the equations can be solved,.
Read more about operators here:
https://brainly.com/question/25974538
#SPJ2
Answer:.
Step-by-step explanation:
A group of hospital workers belonging to a union each earn the same hourly wage. The union dues are 2 percent of each paycheck regardless of whether the employee works full-time, half-time, or quarter-time. Does this mean that the amount of money deducted will be the same for all the employees?
Answer:
No, different amounts will be deducted.
Step-by-step explanation:
Because the amount deducted is a percent, it changes based on the total amount.
For example, If someone takes 10% of $100, they will have taken $10. And if they take 10% from someone who has $10, they will have taken $1.
Good luck!
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR
Answer:
ssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
¼. 1000
Step-by-step explanation:
25% = 25/100
= 1/4
Therefore,
25% of 1,000 is the same as
1/4. 1000
emily earns $635 per week, how much is that in a year ? ( 52 weeks in a year )
Answer:
Emily will earn $33,020 in one year.
Step-by-step explanation:
635×52=33,020
answer please i need to pass this class
Answer:
b
Step-by-step explanation:
Answer: B (option 3)
Step-by-step explanation:
When you multiply [tex]\sqrt{b}[/tex] by itself, the two square roots cancel our, giving you just b.
Write the sentence as an equation.
129 equals g subtracted from 21
Answer:
g-21=129
Step-by-step explanation:
Help me please on hegarty maths
Answer:
29.5cm^2
Step-by-step explanation:
3 × 4 = 12
4 × 2.5 = 10
3 × 2.5 = 7.5
12+10+7.5=29.5
Find the coefficient of x^4 in the expansion of (x−9)^8
Please I need help!!
Answer:
459270
is the coefficientHelppppp and explain pls and thankyouu
Answer:
-13 is the answer I think so but wait for others also because my could be wrong
what is the measure of the angle formed by a side of the given angle and the given angle's bisector:27?
Answer:
Step-by-step explanation:
An angle is cut in half by the bisector.
Since the given angle is 172, its bisector creates 2 equal angles.
2x = 172 Divide both sides by 2
x = 172/2
x = 86
Complete the function for this graph.
Answer:
y = –|x - 1| + 3
Step-by-step explanation:
The "vertex" is (1 , 3)
y = –|x - 1| + 3
express 8cm as fraction of 2metres.
Answer:
4/200 is the answer
Use the quadratic formula to find the solution to the quadratic equation given
below.
X^2-x+1/4=0
Answer:
[tex]\displaystyle x=\frac{-1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]Step-by-step explanation:
Step 1: Define
Identify
x² + x + 1/4 = 0
↓ Compare to Standard Form
a = 1, b = 1, c = 1/4
Step 2: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2 - 4(1)(\frac{1}{4})}}{2(1)}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-1 \pm \sqrt{1 - 4(1)(\frac{1}{4})}}{2(1)}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{-1 \pm \sqrt{1 - 1}}{2(1)}[/tex][√Radical] Subtract: [tex]\displaystyle x=\frac{-1 \pm \sqrt{0}}{2(1)}[/tex][√Radical] Evaluate: [tex]\displaystyle x=\frac{-1 \pm 0}{2(1)}[/tex]Simplify: [tex]\displaystyle x=\frac{-1}{2(1)}[/tex]Multiply: [tex]\displaystyle x=\frac{-1}{2}[/tex]Solve for x. I have to show my work and no decimal answers. It's not mandatory, i just don't understand how to solve the problem. Someone pls help ;) & actually explain it.
Answer:
-22.5.
Step-by-step explanation:
Lets say that you meant w as the variable.
-4/3 w = 30.
To get rid of the 3, lets multiply 3 to both sides. We get:
3(-4/3 w) = 3(30)
We get:
-4w = 90.
To solve for the w, lets get rid of the -4 by dividing it from both sides.
(-4w)/-4 = 90/-4
We get:
w = -22.5
Check it if you want to make sure.
a. 1.3
b. 9.6
c. 13
d. 1
Answer: I believe the answer would be 1.3
HOWEVER, if you do have to round to the nearest tenth then the answer would be 1
Step-by-step explanation:
2x+7 = 12x - 6
(subtract 2x from both sides)
7 = 10x - 6
(add 6 to both sides)
13 = 10x
(divide 13/10)
1.3 = x
PLEASE HELP ITS EASY BUT LIKE yh
Answer:
40 I told u
Step-by-step explanation:
right angles are 90 degrees
Answer :
x +25 +25 =90 degrees
x +50 =90 degrees
x = 90 -50
x = 40 degrees
Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.
Answer:
Wavelength varies inversely with frequency.
Step-by-step explanation:
Wavelength varies inversely with frequency.
[tex]\lambda\propto \dfrac{1}{f}\\\\\lambda=\dfrac{k}{f}\\\\\lambda f=k[/tex]
Where
k is the constant and it is equal to the product of wavelength and frequency. It means when wavelength increases, the frequency decreases and vice versa.
8 Find the value of x a (22²)x is exponent of (22²) = 64
Given:
Consider the given equation is:
[tex](2\cdot 2^2)^x=64[/tex]
To find:
The value of x.
Solution:
We have,
[tex](2\cdot 2^2)^x=64[/tex]
It can be written as:
[tex](2\cdot 4)^x=8\times 8[/tex]
[tex]8^x=8^2[/tex]
On comparing the exponents of both sides, we get
[tex]x=2[/tex]
Therefore, the value of x is 2.
find missing side of triangle, help!
Answer:
A √202km
Step-by-step explanation:
x²=11²-9²
x²=121-81
x²=202
√x²=√202
x=√202
A - H, please! thank you.
Answer:
First exercise
a) 1/8=0.125
b) 5$
c) y = 0.125 * x - 5
Second exercise
a) 0.11 $/KWh
b) no flat fee
c) y = 0.11 * x
Step-by-step explanation:
(See the pictures)
In triangle XYZ. the measurements of angle X and angle Y are 45° Which is the longest side of the triangle
Answer:
the side XY
Step-by-step explanation:
we know 2 angles in a triangle. but are 45 degrees.
that means the third angle Z is 180-45-45 = 90 degrees.
the side opposite of the largest angle is the longest side.
opposite of Z is the side XY.
A tailor had 5000 buttons.He sawed 9 buttons on each shirt and had 2048 buttons left.Then,he sold all shirts at $36 each.find the total amount collected by the tailor?
Answer: $11,808
Step-by-step explanation:
5000 - 2048 = 2952
By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.
Each shirt has 9 buttons, therefore the number of shirts can be calculated as:
2952 ÷ 9 = 328.
Since the shirts sold at $36 each and there are 328 shirts made, the total amount can be calculated as $36 · 328 = $11,808
(I hope this is right :\)
The total amount collected by the tailor $11,808.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
A tailor had 5000 buttons.
He sawed 9 buttons on each shirt and had 2048 buttons left.
Then, he sold all shirts at $36 each.
now,
5000 - 2048 = 2952
By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.
Each shirt has 9 buttons, therefore the number of shirts can be calculated as:
2952 ÷ 9 = 328.
Since the shirts sold at $36 each and there are 328 shirts made,
the total amount can be calculated as $36 · 328
= $11,808
Hence, the total amount collected by the tailor $11,808.
To learn more on division click:
brainly.com/question/21416852
#SPJ2
Please help, it is a graph question
Answer:
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
Step-by-step explanation:
choose 2 points to find slope
(1,1) (-3,-1)
[tex]m = \frac{ - 1 - 1}{ - 3 - 1} = \frac{1}{2} [/tex]
y-y1 = m(x-x1)
y-1 = 1/2( x-1)
y = 1/2x + 1/2
guessing
y= 1/2x + 1/2
did y2 - y1/ x2-x1
which gave
-3
-6
also it passed through the y axis at +1/2
write an expression for 15 divided by a number
show your work
Answer:
15/X
Step-by-step explanation:
a number divided by 15
15/X
A biased 3-coloured spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
If you spin this spinner 1000 times, how many times do you expect it to land on Red?
(Hint: Find n first)
Given:
A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
To find:
The expected number of times it land on Red if you spin this spinner 1000 times.
Solution:
A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times. So,
[tex]n+3n+8n=240[/tex]
[tex]12n=240[/tex]
[tex]n=\dfrac{240}{12}[/tex]
[tex]n=20[/tex]
The value of n is 20. It means the spinner land on red 20 times if the spinner was spun 240 times. So, the probability of getting red is:
[tex]P(Red)=\dfrac{20}{240}[/tex]
[tex]P(Red)=\dfrac{1}{12}[/tex]
If you spin this spinner 1000 times, then the expected number of times to getting red is:
[tex]E(Red)=1000\times P(Red)[/tex]
[tex]E(Red)=1000\times \dfrac{1}{12}[/tex]
[tex]E(Red)=83.333...[/tex]
[tex]E(Red)\approx 83[/tex]
Therefore, the expected number of times to land on red is 83.
if the slope of one of these perpendicular lines is -4/5 the slope of the other line is ____
