Answer:
$2500: 4.57 years$3000: 8.31 yearsStep-by-step explanation:
The time required for an account earning compound interest to achieve a particular balance is given by the formula ...
t = log(A/P)/(n·log(1 +r/n))
where principal P is compounded n times per year at annual rate r. A is the account balance after that time. For this problem, n=1.
__
a.Here, we have ...
P = $2000, A = $2500, r = 0.05, n = 1
The number of years is ...
t = log(2500/2000)/log(1.05) ≈ 4.57 . . . years
__
b.For A = $3000, this becomes ...
t = log(3000/2000)/log(1.05) ≈ 8.31 . . . years
What is the equation of this line?
y= 4/5x-3
y=5/4x-3
y=4/5x+3
y=-4/5x-3
Answer:
the answer is y=4/5x-3
The equation of the line shown in the graph would be, [tex]y = \dfrac{4}{5} x - 3[/tex]
Hence, option 1 is true.
Given that;
Two points on the line are (5, 1) and (0, -3).
Used the concpet of the equation of the line,
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, [tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Now,
Since, The equation of line passes through the points (5, 1) and (0, -3)..
So, We need to find the slope of the line.
Hence, the slope of the line is,
[tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
[tex]m = \dfrac{(- 3 - 1)}{(0 - 5)}[/tex]
[tex]m = \dfrac{(- 4)}{( - 5)}[/tex]
[tex]m = \dfrac{(4)}{( 5)}[/tex]
Thus, The equation of the line with slope 4/5 is,
[tex]y - 1 = \dfrac{4}{5} (x - 5)[/tex]
[tex]y - 1 = \dfrac{4}{5} x - 4[/tex]
[tex]y = \dfrac{4}{5} x - 4 + 1[/tex]
[tex]y = \dfrac{4}{5} x - 3[/tex]
Therefore, The equation of the line will be;
1) [tex]y = \dfrac{4}{5} x - 3[/tex]
So, option 1 is true.
To learn more about the equation of line visit:
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What is 1.2 simplified
Answer:
it is 1 2/10 but simplified to 1 1/5
Step-by-step explanation:
what is the value of the 2 in 0.812
Answer:
the two is in the thousandths place
Step-by-step explanation:
the eight is in the tenths, and the one is in the hundredths
Answer:
.8 tenths
.01 hundredths
.002 thousandths
so the value of 2 would be 2 thousandths or .002 thousandths
What are all the like terms of 5x
Answer:
a number times 5
Step-by-step explanation:
The cost to buy tickets online for a dance show is $60 per ticket. a. Write a function that represents the cost C(x) (in $) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T(a) for a dollars spent on tickets. c. Find (T ∘ C)(x). d. Find (T ∘ C)(6) and interpret its meaning in the context of this problem.
Step-by-step explanation:
Given
cost of ticket=$60
a. the cost of x tickets is
C(x)=60x
b. sale tax of 5.5% of $60 is 5.5/100*60
0.55*60=$3.3
processing fee = $8
the total cost T(a) for a dollars spent on tickets.
T(a)=60a+3.3+8
T(a)=60a+11.3
c. Find (T ∘ C)(x).
T(x)=60x+11.3
d. Find (T ∘ C)(6)
T(6)=60*6+11.3
T(6)=360+11.3
T(6)=$371.3
This means that for 6 tickets with a tax of 5.5% and a processing fee of $8 the cost will be $371.3
alex is working to simplify 5·(-8)·2
A. what is the product?
B. suppose Alex found the opposite of the correct product. describe an error he could have made that resulted in that product.
please answer quickly!!!!!!!!!!!!
Answer:
A. 5*(-8)*2=-80
B. Forgot about the signs
Step-by-step explanation:
Product of Signed Integers
The product of two integers with like (same) signs is positive. The product of two integers with different signs is negative.
A.
Alex is simplifying the product 5*(-8)*2. It can be done in any order, for example, let's multiply 5*(-8) first.
The numbers have different signs, so the product is negative and 8*5 =40, thus: 5*(-8)=-40.
Now we finish the operation multiplying (-40)*2. They have different signs, thus the result is negative and (-40)*2=-80, thus:
5*(-8)*2=-80
B.
If Alex found the opposite of the correct product, that is, 80 is more likely to have been the result of forgetting about the signs. He probably just multiplied the numbers regardless of their signs.
Solve for j.
20 − 17j = –18j
j =
Answer:
[tex]\boxed {j = -20}[/tex]
Step-by-step explanation:
-Solve for the value of [tex]j[/tex]:
[tex]20 - 17j = -18j[/tex]
-Take [tex]18j[/tex]and add it to [tex]17j[/tex]:
[tex]20 - 17j + 18j = -18j + 18j[/tex]
[tex]20 + j = 0[/tex]
-Subtract both sides by [tex]20[/tex]:
[tex]20 - 20 + j = 0 -20[/tex]
[tex]\boxed {j = -20}[/tex]
So, the value of [tex]j[/tex] is [tex]-20[/tex].
What is the area of triangle abc? Pls explain thoroughly.
Answer:
0.25 ( I guess)
Step-by-step explanation:
use 1/2 (b*h) formula
Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices
X'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answer:
ur answer is.. 90 degree
Step-by-step explanation:
Triangle ABC was transformed using the rule (x, y) -> (-y, x). The vertices of the triangle are shown.
Which best describes the transformation?
would be a R0, 90 degree
i jst took the quiz....
Answer:
90 degrees
Step-by-step explanation:
Pleaseee helppp meee question 2 !!!
You ride the train to an after-school job every weekday. The ticket for the trip from school to work costs $3. The ticket for the trip from work back home costs d dollars. How much do you spend on train tickets each day? How much do you spend in a 5-day week?
Answer:
each day= 3+d
each 5-day week= 15+5d
Step-by-step explanation:
Jackie is diving 25.65 feet below sea level and then dives down another 16.5 feet. Then he rose 12.45 feet. What is Jackie’s new depth?
Answer:
-29.7
Step-by-step explanation:
Assuming sea level is at 0, you would first subtract 25.65 from 0 to indicate diving 25.65 feet BELOW 0. Then, you subtract 16.5 from that. Then, add 12.45 to that number to get the answer after the diver rose 12.45 feet.
0-25.65= -25.65
-25.65-16.5= -42.15
-42.15+ 12.45= -29.7
OR 29.7 feet below sea level.
ASAP PLEASE ANSWERRR find the value of x. 3x+34=16
Answer:
-6
Step-by-step explanation:
subtract 3 from both sides and that leaves 3x=-18
then divide 3 by -18 and that equals -6
Answer:
x= -6
Step-by-step explanation:
Step 1: Subtract 34 from both sides.
3x+34−34=16−34
3x=−18
Step 2: Divide both sides by 3.
3x /3 = −18 /3
x=−6
A system of equations is given as:
x = 8
3x + 4y = 16
What is the value of y?
Answer:
3x + 4y = 16
x = 8
y = -2
Hope this helps! Please mark Brainliest!
Need help, will mark brainliest plus 50 points.
Lia gets paid $450 a week plus a
5% commission on her sales. She
hopes to earn at least $600
dollars each week.
a. Write an inequality to
represent the verbal
description.
b. How much does Lia
need in sales to make
her goal?
Answer:
Step-by-step explanation:
To write the inequality, we need to first caculate the amount of money that Lia would ACTUALLY earn each week and compare that to her goal of $600.
We cannot actually get the amount of money that Lia would get because we don't know her sales so we will represent the sales with a X.
450+ X(5%). -This the amount of money she would egt from her sales. We need to also figure out 5% of 450 to solve the next part of the equation. That is $22.5. 600-450=150/22.5= 6.6666- which is about 7 sales.
The peak of Mount Everest, Earth's tallest point, is about 5 1/2 miles above sea level. The bottom of the Mariana Trench, Earth's deepest point, is about 6 9/10 miles below sea level. If you could place Mount Everest at the bottom of the Mariana Trench, how far from sea level would its peak be?
Answer:
11 7/10 miles below sea level
Step-by-step explanation:
Given the following :
Peak of Mount everest = 5 1/2 miles above sea level
Bottom of Mariana trench = 6 9/10 miles below sea level
If mount everest is placed at the bottom of Mariana trench
. It's be will be :
Since sea level could be considered as a 0 point;
Adding the height and depth of both should give us the depth below sea level:
(6 9/10 + 5 1/2) miles
6 + 5 (9/10 + 1/2)
11 (9 + 5)/10
11 14/10
11 7/10
= 11 7/10 miles below sea level
Write an equation to represent the following statement.
j is 14 less than 22
Solve for J
Step-by-step explanation:
22-14=8 so J=8
Billy walked 52 miles in 3 days how many miles could he walk in 10 days?
Answer:
He could walk 173 [tex]\frac{1}{3}[/tex] miles in 10 days
Step-by-step explanation:
To solve this problem let us use the ratio method
∵ Billy walked 52 miles in 3 days
∵ We need to find how many miles could he walk in 10 days
→ Use the ratio method
→ Miles → Days
→ 52 → 3
→ x → 10
→ x is the number of miles
→ By using cross multiplication
∵ x × 3 = 52 × 10
∴ 3x = 520
→ Divide both sides by 3 to find x
∴ [tex]\frac{3x}{3}=\frac{520}{3}[/tex]
∴ x = 173 [tex]\frac{1}{3}[/tex] miles
∴ He could walk 173 [tex]\frac{1}{3}[/tex] miles in 10 days
What is the value of D(12)
Answer:
If the question is looking for an absolute value then the answer is 12.
Absolute value |-a| = a.
Sonia is walking 2.6 miles home from school. She leaves at 4:00 P.M., and gets home at 4:45 P.M.
Answer:
I belive, it is A I'm not sure
Step-by-step explanation:
A bus covers a distance of 90km at a uniform speed. Had the speed been 15km/hour it would have taken 30 minutes less for the journey. Find the original speed of the bus.
Answer:
Step-by-step explanation
Let's say d = distance, r = speed and t = time
We know the distance formula is :
distance = speed x time
d = r multiplied by t
d = rt
If the speed is 15km/hr, the time would be 30 minutes shorter.
Since d = rt,
90 = 15t
t = 6,
This means the time taken for the bus to complete the journey at 15km/hr would be 6hrs.
Originally though, the journey takes 30 minutes longer.
So we can say t = 6.5 hrs , and we know d = 90
Now we use the distance formula:
d = rt, since we want to find the original speed, we want to find r.
Speed = distance/time
r = d/t
r = 90/6.5
r = 180/13
Therefore the original speed is 180/13 km/hr
In one month, the median home price in the west fell from $203,400 to $192,300. Find the percent decrease
Between 10 pm and 7:45 am the water level in a swimming pool decreased by 13/16 inch. Assuming the constant rate how much did it drop each hour
The answer to your question is, The pool dropped 1.38/16 inches per hour.
"the quotient of a number and 4"
Mr. Townsend bought five hot dogs for his family from the concession stand. Each hot dog cost
$
1.75
. How much change will he get back if he gives the cashier
$
10
? Show your work, including labeling your answer with the appropriate units of measure.
Answer:
1.25
Step-by-step explanation:
so you multiply 1.75 by 5 which is 8.25. You subract 10 by 8.25
It takes Jamil 40 minutes to drive to work, plus or minus 8 minutes depending on traffic. Which of the following equations could be solved to find the shortest or longest times she might drive?
Answer:
addition
Step-by-step explanation:
add 40+8 and you get 48 :P
Find the product of-10/5 x (-15/5)
Answer:
6
Step-by-step explanation:use math- way it will help you in future
Answer:
6
Step-by-step explanation:
Equation: [tex]-\frac{10}{5}\cdot -\frac{15}{5}[/tex]
1). Apply [tex]-a(-b)-ab[/tex]: [tex]-\frac{10}{5}(-\frac{15}{5}=\frac{10}{5}\cdot \frac{15}{5}[/tex]
2). [tex]\frac{10}{5}[/tex] simplfies to 2, so [tex]2\cdot \frac{15}{5}[/tex]
3). [tex]2\cdot 3[/tex]
15. Find the value of x.
(7x-1)
(6x - 1)
X =
Answer:
the answer is -1
Step-by-step explanation:
Answer: x = 0
Step-by-step explanation: Firstly, set them equal to each other.
7x - 1 = 6x - 1
Now, subtract 6x from both sides:
x - 1 = -1
Add 1 to both sides:
x = 0
And if you need to know what type of function it is, it is an infinite function because if you plug in 0:
7(0) - 1 = 6(0) - 1
You get:
-1 = -1
If both sides are the same, it is an infinite function.
Hope this helps!
HELP!!! NEED RATIO! A TON OF POINTS!
Answer:
yes
Step-by-step explanation:
Please help! Select the graph of the solution. 2x - 1 > 5
Answer:
See photo below
Step-by-step explanation:
First, start solving it. Add 1 to each side, so it now looks like this: 2x > 6Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x > 3Now, look at your options and pick the graph that fits the solved equation. The last option matches the solved equation exactly, so that's the answer.I hope this helps!