Answer:
He deposited initially $852.82
Step-by-step explanation:
The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the new amountP is the initial amountr is the rate in decimaln is the period of the timet is the time∵ Wyatt opened a savings account 4 years ago
∴ t = 4
∵ The account earns 4% interest compounded quarterly
∴ r = 4% = 4 ÷ 100 = 0.04
∴ n = 4 ⇒ compounded quarterly
∵ The current balance is $1,000.00
∴ A = 1,000
→ Substitute these values in the rule above to find P
∵ 1,000 = [tex]P(1+\frac{0.04}{4})^{4(4)}[/tex]
∴ 1,000 = [tex]P(1+0.01)^{16}[/tex]
∴ 1,000 = [tex]P(1.01)^{16}[/tex]
→ Divide both sides by [tex](1.01)^{16}[/tex]
∴ 852.8212622 = P
→ Round it to the nearest cent (2d.p)
∴ P = 852.82
∴ He deposited initially $852.82
Three students have started a fence-painting business. Working together, Pragnesh and Qazi can paint the fence in 2 hours. Similarly, Pragnesh and Ronghui can paint the fence in 3 hours when they work together. Finally, when Qazi and Ronghui work together, they can paint the fence in 4 hours. How long would it take if all three students worked together to paint the fence.
Answer:
in about 0.92 hours or 55.2 minutes
Step-by-step explanation:
The time they take to paint the room:
Pragnesh and Qazi = 2 hours
Pragnesh and Ronghui = 3 hours
Qazi and Ronghui = 4 hours
Meaning, each hour (1) they'll paint:
Pragnesh and Qazi = [tex]\frac{1}{2th}[/tex] of the room
Pragnesh and Ronghui = [tex]\frac{1}{3th}[/tex] of the room
Qazi and Ronghui = [tex]\frac{1}{4th}[/tex] of the room
By summing all their work abilities we can determine how long it would take if all three students worked together to paint the fence, which is:
[tex]\frac{1}{2} + \frac{1}{3} + \frac{1}{4} = \frac{13}{12th}[/tex] of the room each hour. Therefore the whole (1) room would be painted in 1 ÷ [tex]\frac{13}{12}[/tex] = [tex]\frac{12}{13} hours[/tex] or 0.92 hours or 55.2 minutes (0.92 * 60).
It costs $2.60 to buy a 1/2 pound of gummy worms. How much would it cost to buy 2.25 pounds?
Answer:
Step-by-step explanation:
Answer:It would cost $11.70 for 2.25 pounds of gummy worms.
Step-by-step explanation:
$2.60*4=$10.40 for 2 pounds
$2.60/2=$1.30 for 1/4 of a pound which is equal to 0.25
$10.40+$1.30=$11.70 for 2.25 pounds of gummy worms
Ill give brainlest pls help
Answer:
It is C
Step-by-step explanation:
To get the new coordinates you would move the shape up the y-axis 8 times, and right on the x-axis 8 times as well.
Answer:
C
Step-by-step explanation:
You can either compare two similar points or just count the units on the graph
Plz help, ik it's easy, but i'm terrible at math. I might give brainliest tho....
(just look at the pic and give right answer and a detailed explanation plz! :)
Answer:
6
Step-by-step explanation:
Remember PEMDAS. This will help you a lot in algebra.
P Parenthesis
E Exponents
M Multiplication
D Division
A Addition
S Subtraction
This is the order of how all the operations should take place.
Note: Multiplication and Division happen together. Just go from left to right. This is the same for Addition and Subtraction.
Onto the problem!
First, look at PEMDAS.
P stands for Parenthesis so first we look for those.
In this case, we have a set here. Solve whatever is inside.
[tex]\frac{1}{2}*(4+8)[/tex]
[tex]\frac{1}{2}*(12)[/tex]
Next, look for Exponents. There aren't any in this expression, so we're okay to move on.
Now, look for Multiplication or Division.
[tex]\frac{1}{2}*(12)[/tex]
[tex]6[/tex]
The answer is 6.
I really hope this helped you! Asking for help is a great first step in math! Keep at it and I'm sure you'll succeed. :)
Answer:
6
Step-by-step explanation:
Mike walks ½ a mile in ¼ of an hour. What is his speed in miles per hour?
Answer: 2 miles per hour
Step-by-step explanation:
6 - (-7) =
Subtract integers using inverse property.
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
6-(-7)=
6+7
=13
(n + 3) ÷ 5 = 3?
HELP
Answer:
n = 12
Step-by-step explanation:
Rewrite it as [tex]\frac{(n+3)}{5} = 3[/tex]
Multiply both sides by 5
(n+3) = 15
You can drop the parenthesis now.
n + 3 = 15
n = 12
Answer:
12/5
Step-by-step explanation: 12/5 + 3 ÷ 5 = 3
Juan plans to build a bookcase to store his paperback books, DVDs, and CDs. He has lumber that he will use for the sides and the back of the bookcase. The bookcase will have five shelves, and each will be 2 1/2 long.Does he have enough lumber to make the five shelves?
Answer:
Juan does not have enough lumber to make the five shelves.
Step-by-step explanation:
Let assume that:
If Juan bought a piece of lumber that is 18 feet long.
and the bookcase will have = 5 shelves
Also, the length of each bookcase = 2 1/2 long = 2.5 long
Then the amount required for the five shelves = 5 × 2.5
= 12.5 feet long
Therefore, we can say Juan does not have enough lumber to make the five shelves.
Hence, he will need an addition of: (18 - 12.5) feet = 5.5 feet piece of lumber
Give brainliest but hurry!! Which of the following is a false statement?
1. 1/2 (AB) = AM
2. 1/2 (AB) = MB
3. AM = MB
4. CD = AB
Answer:
I believe the answer is 3. AM = MB
Step-by-step explanation:
For the first option, 1/2 of AB is obviously equal to AM. Therefore, the second option is also correct.
As far as the fourth option, CD equals AB since a compass was used to gather the points, ensuring they are equidistance.
On a hike, each hiker carries the items shown (down below says what items and its weight). Write and interpret an expression in simplest form that represents that weight (in pounds) carried by x hikers,
3.4 lb sleeping bag,
4.6 lb backpack,
2.2 lb water bottle.
Expression: _____
The weight carried by each hiker is ______ pounds.
Answer:
The wording of this question is vague. Are the numbers 3.4, 2.2, and 4.6 the weights in pounds (lbs) of the individual items carried by each hiker? I will assume that each of x hikers carries 3 items of weights 3.4, 2.2, and 4.6 lbs, and I will assume that you seek the total weight W carried by the group of x hikers.
W = (number of hikers)(pounds carried by each hiker) = x(3.4 + 2.2 + 4.6) lbs.
There is not much more i can tell you without additional information or clarification.
Step-by-step explanation:
Please help ASAP!! Answers are appreciated!!
If y = 4x, what is the value of 3y + 2(3y + 5) - x in terms of x?
Answer:
13/3
Step-by-step explanation:
3(4x)+6(4x)+30-x
39=9x
divide 9 on each side
x=13/3
yw if its right make me brainliest
Darius can buy two heads of cabbage for $1.80. How many heads of cabbage can he buy if he has $28.80?
Answer:
Darius can buy 16 heads of cabbage
Step-by-step explanation:
28.80 divided by 1.80 is equal to 16.
Write an equation in point-slope form for each line.
questions 40 and 42.
20 points!!!!
Answer:
40) y=2x+1
42) y=-4/3x-2
Step-by-step explanation:
What number is equivalent to 4/3
Answer:
9/12
Step-by-step explanation:
trust meh im right
Answer:
Is there any answer choices?
Step-by-step explanation:
Here some examples though:
8/616/1212/9Which equation below represents a proportional relationship?
a. y = 5x – 9
b. y = 2x + 7
c. y = 8x
d. y = 3x – 2
Answer:
c.
Step-by-step explanation:
when an equation doesn't have a y-intercept. That means it is proportional.
Write an equation in slope-intercept
form for the line with slope -1/2
and y-intercept 9.
[tex]y = - \frac{1}{2} x + 9[/tex]
since the slope-intercept equation is y=mx+b
m represents the slope
b represents the y-intercept
Solve: (7+5i) + n =0, what's n? What
property is this?
Hurry please need it.
Answer:
n = -7-5i
Step-by-step explanation:
This is the inverse property of addition
On the coordinate plane shown, Figure 1 is transformed into Figure 2, which is transformed into Figure3. Figure 1 and Figure 3 are similar by a sequence of transformations. What type of transformation was used to transform Figure 1 into Figure 2?
Answer:
rotation
Step-by-step explanation:
The transformation used to transform figure 1 into figure 2 is a dilation.
What is dilation?A dilation is a transformation that yields a picture that differs in size while maintaining the original image's shape.
Given that, figure 1 is transformed into figure 2, and figure 2 is transformed into figure 3 which s similar to figure 1.
Since figure 1 is similar to figure 3, as per the transitivity property, figure 1 is similar to figure 2.
Since figure 1 is similar to figure 2, the ratio of their side lengths is proportional.
Since the ratio of the side lengths of the two figures is proportional, the transformation is a dilation.
Hence, the transformation used to transform figure 1 into figure 2 is a dilation.
Learn more about the dilation:
https://brainly.com/question/13176891
#SPJ5
what formulas can be used to find a triangular prism
Determine which postulate can be used
to prove that the triangles are congruent.
If it is not possible to prove congruence,
write not possible.
Answer:
SAS postulate
Step-by-step explanation:
The triangles have two congruent sides and one congruent angle. The congruent angle is the included angle. This meets SAS criteria.
Hope this helps :-)
what equation is equal to (2x -3y + 5z) - (-4x -y +8z)?
Answer:
Step-by-step explanation:
(2x -3y + 5z) - (-4x -y +8z)
6x-2y-3z combine terms With the - in between, it changes the signs to the opposite in the second ()
According to the synthetic division below, which of the following statements are true? Check all that apply.
Answer: d, f
explanation:
-24=2x+x+9
solve this make sure it's right thanks
Answer:
-24 = 3x + 9
-24 - 9 = 3x
-33 = 3x
-33/3 = x
-11 = x
x = -11
Add 9 to both sides
So
-15=2x
Divide both sides by 2
So
X=-7.5
Hope this helps!
can someone please help me with this equation
Answer:
0.4 times .7 equals .28. So e = .7
Step-by-step explanation:
If you help me on this god bless you, I NEED HELP !
Answer:
givenadditive property of equalitysegment addition postulatesegment addition postulatetransitive propertyStep-by-step explanation:
In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
transitive property, If a = b and b = c, then a = c.
Segment Addition Postulate Defined. The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.
I hope this was good enough for you:
Kori and Rebecca are 198 miles apart, traveling towards each other. If Rebecca travels 19mph and Kori travels 14 mph how long until they meet?
19 mph + 14 mph = 33 mph
198 miles / 33 mph = 6 hours
It will take them 6 hours to meet.
im pretty sure it's 6 hours
hopefully you get it right :)
A rectangle's one side is 7 inches shorter than four times it's other side. The perimeter is 180 inches. What are the sides? Please explain with steps and if your can tell me why I keep getting 19.4.
Answer:
Step-by-step explanation:
we call one side x and the other side 4x-7. Because in a rectangle opposite sides are equal we can now set up an equation.
x + x + 4x-7 +4x-7 = 180
10x - 14 = 180
10x = 194
x = 19.4
the lenght of the other side is 4(19.4)-7 = 70.6
What is 7+0?????????????????
21 21 21......... im gonna write to take up space random dumb thingz tingz hee bhee
what is 6x + 9^3 factorsied
Step-by-step explanation:
hope it's help u jajajn s