Jennifer invests $8,353 in a retirement account with a fixed annual interest rate of8% compounded 4 times per year. What will the account balance be after 15 years?
Answer:
Amount after 15 years = $27,406.45 (Approx.)
Step-by-step explanation:
Given:
Amount invested p = $8,353
Rate r = 8% = 0.08/4 = 0.02 per year (4 times)
Number of interest compounded n = 15 year x 4 = 60 times
Find:
Amount after 15 years
Computation:
A = p[1+r]ⁿ
Amount after 15 years = 8,353[1+0.02]⁶⁰
Amount after 15 years = 8,353[1.02]⁶⁰
Amount after 15 years = $27,406.45 (Approx.)
A hot water tap filled a bath in 7 1/2 minutes,while a cold water tap fills it in 5 minutes,how long will it take to fill the bath when both taps are turned on together?
Answer:
3 minutes
Step-by-step explanation:
Let's say that the bathtub is 15L
It would take 7.5 mins to fill 15L
15L/7.5 = 2L per minute
The other tap would take 5 minutes to fill 15L
15L/5 = 3L per minute
3L per minute + 2L per minute = 5L per minute
15L/5L per min = 3 minutes
Sorry for the delay. Accidentally pressed the answer button without the answer. Hope I helped.
what do you call the 9 in the statement 30% of 9 is 3
Answer: You call the 9 a base.
Step-by-step explanation: 3 is the percentage or part of the whole or base.
Answer:
9 is the base of the statement.
Step-by-step explanation:
Since 30% is the rate which shows a percent symbol. 9 is the base which is the basis of the statement. Then 3 is the percentage you got from the 30% of 9.
slope intercept form of points (0,4) and (1,3
Answer:
y = -x+4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 4-3)/(0-1)
= 1 /-1
= -1
The y intercept is (0,4) or 4
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -x+4
La suma de dos números enteros que tienen signos diferentes es:
Answer:
Hhhhhhhhnnnnnnnnnn
Step-by-step explanation:
Bbb
Which expression is equivalent to 3x+2
Answer:
(3 x X) + 2
Can be a possible way if you factor it out I think.
Please Help Me Answer:
-6n - 5 = 31
Answer:
n = - 6
Step-by-step explanation:
Given
- 6n - 5 = 31 ( add 5 to both sides )
- 6n = 36 ( divide both sides by - 6 )
n = - 6
Answer:
n= -6
Step-by-step explanation:
-6n=31+5
-6n=36
n=36÷-6
n= -6
Line n and points A through E are shown in the coordinate plane below.
5
a
D
A
с
E
5
Ayako claims that there are centers of dilations through which a dilation of line n by a factor of 1.5 leaves
Line n unchanged. Determine whether each point below represents a center of dilation that supports
Ayako's claim. Select Yes or No for each point.
Yes No
Point AOC
Point BOO
Point COO
Point DOO
Point EOC
Answer:
The points that represent a center of dilation that supports Ayako's claim are;
Point A; Yes
Point D; Yes
Step-by-step explanation:
When the figure being dilated has a segment or side that rests on the center of dilation, the corresponding side or segment of the image of the preimage of the figure will both be located on the same line
Therefore, given that the line 'n' is infinite, the centers of dilation through which a dilation of the line 'n' will form an image that will be on the same line as line 'n' are centers of dilation located on line 'n', which are;
Point A and Point D
3200 seconds 18 hours 46 minutes 1 day write the time from fastest to slowest in seconds
Answer: 46 minutes, 3,200 seconds, 18 hours, 1 day
Step-by-step explanation:
Convert all of these to seconds:
3,200 seconds = 3,200 seconds
18 hours = 18 * 60 minutes * 60 seconds = 64,800 seconds
46 minutes = 46 * 60 = 2,760 seconds
1 day = 24 hours * 60 minutes * 60 seconds = 86,400 seconds
From fastest to slowest in seconds:
46, minutes, 3,200 seconds, 18 hours, 1 day
What is the inverse (opposite) operation that you will use to solve this equation for c+3=4 and the answer.
Answer:
1
Step-by-step explanation:
As we know that addition and subtraction are inverse operations, as are multiplication and division.
The given equation is c+3=4
To solve such equations we isolate the unknown( to keep it either to the left or right of = sign) as c = 4-3
This is also called transposing and the sign of the transposed value changes.
Hence, c = 4-3 = 1
Which angles are complementary to 1? Select all that apply.
Answer:
angle 6 and angle 3
Step-by-step explanation:
angle 1 and angle 6 add up to 90 degrees
angle 6 is vertical to angle 3, so 1 is complementary to 3 as well
Find the slope of the line shown below.
Answer:
slope is -2
Step-by-step explanation:
trust me :)
Answer: The slope would be -2
Which expressions show the volume and the surface area of this cube- shaped packing box?
Answer:
top right
Step-by-step explanation:
I cant see the bottom right but the top has the proper F(t)^3 and 6 surfaces
The width of a rectangle is one less than one third of the length. The perimeter of the rectangle is 78 cm. What are the dimensions of the rectangle?
Answer:
26
Step-by-step explanation:
just use a calculator or search it up
A cake weights 900 g. Paul cuts it in 4 pieces. The biggest piece weighs as much as the 3 other pieces weigh together. What is the weight of the biggest piece?
Answer:500 g
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write and solve an equation to find the answer. From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was − 20 ° C. What was the temperature at midnight?
Answer:
The temperature at midnight is -12 degree Celsius
Step-by-step explanation:
Given -
Temperature at 6:00 PM = -20 degree Celsius
Let the temperature at midnight be X degree Celsius
From midnight to 6:00 am, the temperature rose by 8 degree Celsius
X - (-20) = 8
X = 8-20
X = -12 degree Celsius.
The temperature at midnight is -12 degree Celsius.
Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?
Answer:
the area of the square = x² = 147,852 ft²
Step-by-step explanation:
Given;
two sides of a right triangle, = 222 units and 444 units
let the third side of the right triangle that shares a side with a square = x
the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.
x² = 444² - 222²
x² = 147,852
x = √147,852
x = 384.52 ft
Therefore, the area of the square = x² = 147,852 ft²
Answer:
20 = x^2
Step-by-step explanation:
to find c^2 you need to do:
a^2 + b^2 = c^2
so- 2x2 + 4x4 = 4+16= 20
20 = x^2 and since x is squared you do not find the square root
Does anyone know this cause I need to understand how to do this.
Answer:
Triangle TSR
Step-by-step explanation:
This triangle is congruent to triangle FED because 3 angles and 3 sides You start with D because angle F is congruent to angle D
A garden sells soil by weight, rounded to the nearest tenth of a pound, Elizabeth has 43.479 pounds of soil. What is the weight rounded to the nearest tenth of a pound?
Answer: 43.48 Pounds
Step-by-step explanation:
Given
Elizabeth has 43.479 pounds of soil
Rounding off to the nearest tenth of a pound
Consider 79 which occurs after the decimal place
Converting it to 80 as it is nearest to 80
So, we can write 43.479 as 43.48 Pounds
Please help me solve this
Answer:
x=61
2x+3 = 125
x-6 = 55
Step-by-step explanation:
The two angles shown form a straight line so they add to 180
2x+3 + x-6 = 180
Combine line terms
3x-3 =180
Add 3 to each side
3x-3+3 =180+3
3x=183
Divide each side by 3
3x/3 =183/3
x =61
The angle on the left is 2x+3
2x+3 = 2*61+3 = 122+3 = 125
The angle on the right is x-6 = 61-6 = 55
Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost
Answer:
Total cost = $4.08
Step-by-step explanation:
Given the following data;
Selling price = $3.4
Shipping and handling fee = 20%
To find the total cost;
First of all, we would determine the extra fee;
Extra fee = 20/100 * 3.4
Extra fee = 68/100
Extra fee = $0.68
Now, we can solve for the total cost using the formula below;
Total cost = selling price + extra fee
Total cost = 3.4 + 0.68
Total cost = $4.08
Which of the following graphs represents a linear relationship between x and y?
Please helppppp!!!!! I posted the answers
Answer:
The third one
Step-by-step explanation:
A linear relationship would create a straight line when graphed therefore the answer is the third one
PLEASE HELP!! Solve for y.
Answer:
hypotenuse²=base²+height²
[tex] \sqrt{85 } {}^{2} = 6 {}^{2} + x {}^{2} \\ [/tex]
85=36+x²85-36=x²49=x²49½=xx=7In a javelin throw competition, five athletics score 56, 58, 63, 57 and 61 meters. What are their Mean and Median?
Answer:
Mean = 59
Median = 58
Step-by-step explanation:
Given the data for a Javelin throw :
56, 58, 63, 57 61 meters
Reordering the data: 56, 57, 58, 61, 63
Mean, m = Σx / n
n = sample size = 5
m = (56 + 57 + 58 + 61 + 63) / 5
m = 295 / 5
m = 59
The median : 1/2 (n+1)th term
1/2(5 +1) the term
1/2(6) = 3rd term
Median value = 58
The area of a sign in the shape of a square is 219 square inches. Which measurement is closest to the side length of the sign in inches.
A: 55 in
B: 15 in
C: 7 in
D: 110 in
Answer:
B: 15 inches
Step-by-step explanation:
Find out how long is a side of the sign.
Square root 219 = 14.79
14.79 estimated to the nearest whole number =
15
The equation of a circle is x^2 + y^2 = 56.25
Answer:
Step-by-step explanation:
General equation of circle with center at (0, 0) : x² + y² = r²
x² + y² = 56.25
x² + y² = 7.5²
Radius = 7.5 units
Center (0 , 0)
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
1. If Clint rents a dune buggy for 5 hours, how much should he expect to pay?
Answer:
$80
Step-by-step explanation:
10x + 30 = y
He wants to rent it for 5 hours, so we replace x with 5.
10(5) + 30 = 80
He should expect to pay $80 for the rental.
hey can you solve this I'm weird at maths
[tex] \sqrt{144} = 12 \times x[/tex]
what's x ?
Answer:
The square root of 144 = 12
Step-by-step explanation:
12 X 12 = 144
A square root of a number is a value that, when multiplied by itself, gives the number.
Answer:
x=1
Step-by-step explanation:
and yes you r weird
...
Find the midpoint between A (8, 2) and B (10, 4)
Answer:
(9,3)
Step-by-step explanation:
m={(x1+x2)/2,(y1+y2)/2}
m={(8+10)/2,(2+4)/2}
m={9,3}
Hope that helps :)
Please help quickly
4x(3a + b + ab)
Answer:
you must find value of the variables
Step-by-step explanation: