Answer:
The account balance will be $10,866 after 14 years
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
[tex]A=Pe^{rt}[/tex]
A = the future value of the investment, including interestP = the principal investment amount (the initial amount)r = the interest rate t = the time the money is invested forLet us use this rule to solve the question
∵ Ali invests $4,078 in a retirement account
∴ P = 4,078
∵ The account with a fixed annual interest rate of 7% compounded
continuously
∴ r = 7% = [tex]\frac{7}{100}[/tex] = 0.07
∵ The time is 14 years
∴ t = 14
Substitute these values in the rule above to find A
∵ [tex]A=4,078(e)^{0.07(14)}[/tex]
→ Use the calculator to find the value of A
∴ A = 10,865.65255
→ Round it to the nearest dollar
∴ A = $10,866
∴ The account balance will be $10,866 after 14 years
the Venn diagram is shown below
n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.
2/5(a+2b)^2 (if a=3 and b=-4)
The answer is 10. Hope this helps.
Multiply the numbers
2/5 •(3-8)^2
Subtract (3-8)
2/5• (-5)^2
A negative base raised to an even power equals a positive
2/5• (5)^2
Reduce the expression with 5.
2•5
10
Determining the Value of the Slope from a Table
A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32.
What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.
Answer:
3 and 5
Step-by-step explanation:
Hope this helped :)
I did the same assignment and it was right!
Answer:
here is the answer
Step-by-step explanation:
PLZ HELP ME
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3 of the price in 2011.
• Write an expression for the price of gold per ounce in 2016.
• Explain how you found the expression.
Answer:
[tex]2x + 1200[/tex]
Step-by-step explanation:
[tex].5x + 300 \\ 3(.5x + 300) = 1.5x + 900\\ 2(1.5x + 900) = 3x + 1800 \\ \frac{2}{3} (3x + 1800) = 2x + 1200[/tex]
Each new line represents the change stated in the question.
5x-2=3x+4
what does x equal
Answer:
x=3
Step-by-step explanation:
5x-2=3x+4
[tex]5x-2+2=3x+4+2[/tex]
[tex]5x=3x+6[/tex]
[tex]5x-3x=3x+6-3x[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2}=\frac{6}{2}[/tex]
[tex]x=3[/tex]
Given l ||
m
|| n, find the value of x.
m
(4x+16)
n
140°
Answer:
x=31
Step-by-step explanation:
If the lines are parallel then the angle that is the same corner has the same degrees. If all the lines are parallel then 140=4x+16
140-16=4x
124=4x
124÷4=x
31=x
To the nearest tenth, how many inches equal 12.55 centimeters? (1 in. = 2.54 cm)
Answer:
5.1
Step-by-step explanation:
all you do is divide 12.55 by 2.54
Answer:
5 inches.
Step-by-step explanation:
If each inch is 2.54, you basically have to divide 12.55 divided by 2.54. Which would equal 4.94094488189. That would round to 5, which means approximately, it equals 5 inches.
Sorry if this is incorrect, but I do believe it is correct, have a good day!
answer number 1 or 2 or both please<3
Answer:
1. 1.96 g/L
2. 1 g/cm³
Step-by-step explanation:
Density is found by dividing mass by volume: d = m/v.
1.
We know that the mass is 0.196 grams, while the volume is 100 mL.
Converting the volume to liters, we get:
100 mL = 0.1 L
Then, applying our density formula:
d = m/v
d = 0.196 g / 0.1 L = 1.96 g/L
2.
Here, we know that the mass is 27 grams. However, we don't know the volume, which we need to find.
The block of wood is 3 cm on all sides, which means it's a cube. The volume of a cube is denoted by V = s³, where s is the side length. Here, s = 3, so V = s³ = 3³ = 27 cm³.
Applying our density formula gives:
d = m/v
d = 27 g / 27 cm³ = 1 g/cm³
~ an aesthetics lover
Tell whether the set of fractions are equivalent.
Explain why or why 5/7 15/21
Answer:
YESStep-by-step explanation:
[tex]\dfrac{5}{7}=\dfrac{5\cdot3}{7\cdot3}=\dfrac{15}{21}[/tex]
Yes, because you can multiply the numerator and denominator by the same number except 0. The fraction value does not change.
1 pts
Question 2
Karen rented a moving truck to move all of the items in her home. The rental
company charged $42 a day plus $0.13 per mile in gas. If Karen rented the truck for 2
days and he total bill was $124.95, how many miles did she travel?
miles
Answer: 315 miles
Step-by-step explanation:
42x2=84
124.95
-84.00
_______
40.95
40.95 ➗ 0.13 = 315 miles
Given m ||n, find the value of x.
(x+14)
mm
(9x-40°
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Answer:
17
Step-by-step explanation:
PICK ALL THAT ARE EQUIVALENT TO -5/19
Answer:
Step-by-step explanation:
The anwser is 2,3,4,5
Answer:
...
Step-by-step explanation:
hey your from my middle school! we are in the same class!
Given: W (-4, 2) and Z (7, 5).
What is the slope of the line parallel to WZ?
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
[tex]\frac{5-2}{7- (-4)}[/tex] = [tex]\frac{3}{11}[/tex]
What’s the equation of (6,39) and (-5,-49)
Which equation illustrates the identity property of multiplication?
A. (a + bi) × c = (ac + bci)
B. (a + bi) × 0 = 0
C. (a + bi) × (c + di) = (c + di) × (a + bi)
D. (a + bi) × 1 = (a + bi)
Answer:
Step-by-step explanation:
2
Answer: D. (a+bi) times 1 = (a+bi)
Step-by-step explanation: i just took the test on edge2020
simplify the following expression: -4x^5y^4x x 5xy^7z^4
Answer:
[tex]-20x^{7}y^{11}z^{4}[/tex]
Step-by-step explanation:
Multiply: -4 and 5 which then equals [tex]-20x^5y^4x[/tex] X [tex]xy^7z^4[/tex]
Add Exponents: [tex]x^5+x1+x1[/tex] and then [tex]y^4+y^7[/tex]which finally equals to the answer, [tex]-20x^7y^{11} z^4[/tex]
For lunch, students may choose one pasta () or chicken (G, The side choices are salad (5) or fruit (1) drink, ane entree, and one side. The drink choices are milk (M) or juice ). The entrée choices are which table shows al of the possible hunch combinations 7 Drink Entire side P OA Drink Entrée p P с Drink Entire P P M Side 5 Lunch Combination Ос 2 4. B. 1 Drink Entire Side N 5 P. C Lunch Combination 2 1 2 Side F Lunch Combination 5 7 с P P с Lunch Combination
Answer:
Step-by-step explanation: :) answer b
Answer:
The answer is D
Step-by-step explanation:it shows all 8 possible combinations
Evaluate the expression when c=4. c2 +6c+8
(the 2 after the c is one of those mini high 2's.)
Answer:
48
Step-by-step explanation:
Sarah goes grocery shopping and buys oranges by the pound. Does this represent a discrete or continuous graph?
Answer:
continuous graph
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4,-5)
Answer:
so the slope-intercept form is y=mx+b
so your's is....
y= 5x +15
Step-by-step explanation:
Hope this helps!!
The equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through (-2,5) and (-4,-5)
The equation of the line can be calculated as follows:
y + 5 = (-5 - 5)/(-4+2)[x + 4]
y + 5 = 10/2[ x + 4]
y = 5x + 20 - 5
y = 5x + 15
Thus, the equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
At noon the temperature was 0°C. If the temperature then rose 3°C per hour, what was
the temperature after 7 hours?
Answer:
21 degrees
Step-by-step explanation:
is
Find the area of this circle. Use 3 for .
A = air2
Hint: The radius (r) is
1/2 of the diameter.
12 in
[?] in2
Answer:
113.1 in²
Step-by-step explanation:
A = pi × r²
= pi × 6²
= 113.1 in²
A ring is now reduced to £840.
This is a saving of 40% of the original price.
Work out the original price of the ring.
==============================================
Work Shown:
If you save 40%, then you pay 100% - 40% = 60% of the original price
final price = 60% of original price
final price = 0.60*(original price)
840 = 0.60x
0.60x = 840
x = 840/0.60
x = 1400
The ring was originally £1400 before the discount.
Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check al
that apply.
x(3) = 2(4)
x(5) = 10
11.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12
Answer:
the 2nd and 4th i think
Step-by-step explanation:
P=a+b+c solve for b and graph the inequality
I need points can you give me some of your points
Angie is going to varnish the floor. Continued on other side of the page She needs 1 litre of varnish for 5 m2 of floor. There are 2.5 litres of varnish in each tin of varnish. Angie has 3 tins of varnish. Does she have enough varnish for all the floor? You must show all your working
Answer:
No, she doesn't have enough varnish for all the floors.
Step-by-step explanation:
Area of the floor, A= 10x6-5x2=50 [tex]m^2[/tex]
Since 5 m^2 required 1 liter of varnish.
So, the amount of varnish required for 1 [tex]m^2[/tex] = 1/5= 0.2 liters.
The amount of varnish required for 50 [tex]m^2[/tex] = 0.2X50=10 liters.
Now, as 1 tin has 2.5 liters of varnish.
So, the total amount of varnish available = 3x2.5=7.5 liters, which is less than the total requirement.
Hence, she doesn't have enough varnish for all the floors.
Drag numbers to complete the table for missing values of x, x2, and x3.
Answer:
Values are:
x x²
10 100
5
Write this word sentence as an inequality.
A number y is greater than –8 and is at most –7.
Pleaseeee!!! Someone hurry!!!
Answer:
-8<y≤-7
.Step-by-step explanation:
7.99, -7.567854, -7.1, -7, but it COULD NOT be -8.
2. Emily was going to her hotel. It took her 4 hours to get there after work. When she was driving nome she decided to go 15 miles per hour faster. which let her get home 1 hour earlier. How fast did she drive going to the hotel I 3. Give an example of a linear equation that has (a) no solution and ib) infinitely many solutions
Answer:
She could not even fit in the hotel in the first place
Step-by-step explanation:
please help find the slope!!
Answer:
undefined
Step-by-step explanation:
I don't know if it's correct or not. But hope it is
Answer:
-7
Step-by-step explanation:
The slope is y/x and y in this case equals -7 while x is +1 so it's -7/1 or just -7