Using the continuously compounded interest formula, the amount of debt owed after 5 years is $ 8988.18
What is continous compounding interest formula?The continuous compounding interest formula is given by P = Peⁿˣ where
P = final amount after time, t, P' = initial amount n = interest rate and x = timeSince Edgar accumulated $7,000 in credit card debt. If the interest rate is 50% per year and he does not make any payments for 5 years, how much will he owe on this debt in 5 years by compounding continuously? To determine that, we use the continuously compounded interest formula.
Given that
P' = $7000n = 50% per year = 0.5 per year andx = 5 yearsSubstituting the values of the variables into the equation, we have that
P = Peⁿˣ
P = $7000e⁰°⁵ ˣ ⁵
P = $7000e⁰°²⁵
P = $7000(1.28)
P = $ 8988.18
So, the amount of debt owed is $ 8988.18
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What is the diameter of a circle with a circumference of 29.4ft?
Answer:
9.358
9.36 (rounded to the nearest hundredths)
9.4 (rounded to the nearest tenth)
Step-by-step explanation:
d = C/π = 29.4/π ≈ 9.358
Michelle sells new and used kayaks. She makes a 10.5% commission on every kayak she sells and she also gets paid $495.50 per week. a) Develop an equation for the way Michelle is paid. b) Last month, the total value of the kayaks she sold was $19 425. Use the equation you’ve developed to find out how much Michelle was paid for that month.
Michelle was paid for that month is $ 4021.625
A linear equation is an algebraic equation of the form y=mx+b. regarding only a regular and a first-order (linear) time period, in which m is the slope and b is the y-intercept. on occasion, the above is called a "linear equation of two variables," where y and x are the variables.
Calculation:-
Percentage of commission = 10.5%
per week paid = $495.50
a. Equation of Michelle paid = 10.5/100X + 495.50
b. The total value of the kayaks she sold was $19 425.
Michelle was paid for that month = 19 425 × 10.5/100 + 4 × 495.50
= 2039.625 + 1982
= $ 4021.625
A linear equation bureaucracy is an immediate line on a graph. A nonlinear equation paperwork an S-curve, bell curve, or any other nonlinear form on a graph. experts in mathematics and physics view linear equations as simple. specialists in mathematics and physics view nonlinear equations as complex.
A linear equation in a single variable is an equation wherein there is handiest one variable present. it is of the form Ax + B = 0, wherein A and B are any real numbers and x is an unknown variable that has the handiest one answer. for instance, 9x + 78 = 18 is a linear equation in one variable.
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What is the slope of the line?
Answer:
The slope is 1/2
Step-by-step explanation:
The slope is built in the format of rise/run. Hope this helps!
Answer:
The slope of the line is positive 1/2.
It goes in a positive direction.
Step-by-step explanation:
I am sure about it and I hope it helps you ♥️♥️♥️
Which of the expressions are equivalent to the one below? Check all that apply.
( 15 • 3) - 20
Answer:
I don't know your answer choices but...
Step-by-step explanation:
( 15 • 3) - 20 is equal to:
45-20
25
(5)(3)(3)-20
How much more expensive is it, per pound, to buy ground beef at Store B than at Store A?
Answer:
2.42
Step-by-step explanation:
First you need to use two points from store b to find the slope (y1-y2)/(x1-x2). I chose the first two points. (15.54-25.9)/(1.5-2.5)= 10.36. After you take another point from store b to plug into the equation y1-y2=m (x1-x2). M is the slope we just found and I used the first point.
Y1-15.54=10.36 (x1-1.5) distribute the 10.36 to the parentheses.
Y1-15.54=10.36x -15.54 get y1 by itself
Y=10.36x so store b is 10.36 a pound and store a is 7.94 a pound. 10.36-7.94= 2.42
how do i do this! pls help ASAP, and pls show work too!
Answer:
a = (g +b)/cx = (u +2)/2Step-by-step explanation:
Find the variable in the expression and see what has been done to it. Here, 'a' has been multiplied by c, and b has been subtracted from the product. Undo those operations in reverse order.
Undo the subtraction of b by adding b to both sides.
g +b = ca -b +b
g +b = ca . . . . . note b is no longer subtracted from the product
Undo the multiplication by dividing both sides by c.
(g +b)/c = (ca)/c
(g +b)/c = a
a = (g +b)/c
__
The second problem is worked exactly the same way.
u = 2x -2
u +2 = 2x . . . . . add 2 to both sides
(u +2)/2 = x . . . . divide both sides by 2
x = (u +2)/2
Write the equation of the line in fully simplified slope intercept form 
An equation of the line in fully simplified slope-intercept form is y = -x + 3.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would find the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (0 - 3)/(3 - 0)
Slope (m) = -3/3
Slope (m) = -1.
At data point (0, 3) and a slope of -1, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 3 = -1(x - 0)
y = -x + 3
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The shape given below can be decomposed into which two figures? (Pick two)
Answer:
C and D
Step-by-step explanation:
I would chose this because the square will have all sides of 3 since all the sides are the same size it classifies as a square. Then a right triangle looking at the shape you would have left.
A rectangle is a four sided polygon having all the internal angles equal to 90 degrees. The shape given below can be decomposed into two figures, they are rectangle and right triangle. The correct options are A and D.
What is a trapezium?The trapezium is defined as a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called the bases and the non-parallel sides of a trapezium are known as legs. It is also called as the trapezoid.
A trapezium is a closed shape which has four sides and four angles. Anyone pair of opposite sides of a trapezium are parallel to each other. If the legs are of equal length, then it is called the isosceless trapezium.
A triangle in which one of its interior angles is equal to 90 degrees or any one angle is a right angle is the right triangle.
Thus the correct options are A and D.
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Cam anyone answer these 4 questions?
Answer:
The first one is correct
Step-by-step explanation:
ITs all good
Studies indicate that there is a 65% chance that the Hope River will overflow its banks if there is heavy rainfall. The studies further indicated that the probability that the river will overflow its banks if there is no heavy rainfall is 0.15. If the probability of heavy rain for this season is 0.75;
What is the probability that the Hope River will overflow its banks this season?
Answer:
Step-by-step explanation:
We can use the law of total probability to calculate the probability that the Hope River will overflow its banks this season:
P(overflow) = P(overflow | heavy rain) x P(heavy rain) + P(overflow | no heavy rain) x P(no heavy rain)
From the problem statement, we are given:
P(overflow | heavy rain) = 0.65 (the probability of overflow given heavy rain)
P(overflow | no heavy rain) = 0.15 (the probability of overflow given no heavy rain)
P(heavy rain) = 0.75 (the probability of heavy rain)
We can find P(no heavy rain) as:
P(no heavy rain) = 1 - P(heavy rain) = 1 - 0.75 = 0.25
Substituting these values, we get:
P(overflow) = 0.65 x 0.75 + 0.15 x 0.25
= 0.4875 + 0.0375
= 0.525
Therefore, the probability that the Hope River will overflow its banks this season is 0.525, or 52.5%.
Evaluate the polynomial when a. x = 0 and b. x= -1.
x² – 3x-7
Answer:
a. -7
b. -3
(i think)
Step-by-step explanation:
a.
x=0
0-0-7 = -7
b.
x=-1
1-3•(-3)-7
1+3-7
=-3
Water flows through a pipe at a rate of 7 liters every 9 days. Express this rate of flow in gallons per week. Round your answer to the nearest hundredth
Answer:
1.44 gallons per week
Step-by-step explanation:
What is g(x)?
5-
X
10
-10
Answer: g(x)= -x^2
Step-by-step explanation:
BRO THIS IS THE MOST BASIC ALGEBRA 1 !?!?!?!?!?!?!?!
A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 10 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 6 insects will die? Round your answer to four decimal places.
The required probability that exactly 6 insects will die is 60%.
Given that,
A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 10 insects is exposed to the insecticide in a particular experiment. The probability that exactly 6 insects will die is to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
Total number of sample spaces = 10
Total number of favorable outcomes = 6
probability can be given as,
= 6 / 10
= 0.6 or 60%
Thus, the required probability that exactly 6 insects will die is 60%.
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f(x)=x3 −4x even odd or neither
Answer:
The function would be odd
The answer is neither.
Let's take an odd number and substitute.
f(3) = 3³ - 4(3)f(3) = 27 - 12f(3) = 15 (odd)Now, let's take an even number.
f(4) = 4³ - 4(4)f(4) = 64 - 16f(4) = 48 (even)Since both even and odd numbers are possible, it is neither.
If -3x+10 = 43 what is the value of x? Explain.
Answer:
11
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3x + 10 = 43
-3x = 33
x = -11
A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin
Which transformation of a figure will create an image that is not congruent to the
original figure?
A. dilation by a factor of 7
B. reflection about the line =
C. translation by 5 units to the left on the x-axis
D. rotation by 180°
Answer:B
Step-by-step explanation:because I got it correct
Gina wants to go to the water park with her friends. They have a total of www dollars to buy 555 tickets. Each ticket costs 151515 dollars. Select the equation that matches this situation. Choose 1 answer: Choose 1 answer: (Choice A) 5 = 15 \times w5=15×w5, equals, 15, times, w A 5 = 15 \times w5=15×w5, equals, 15, times, w (Choice B) w = 15 +5w=15+5w, equals, 15, plus, 5 B w = 15 +5w=15+5w, equals, 15, plus, 5 (Choice C) w = 5 \times 15w=5×15w, equals, 5, times, 15 C w = 5 \times 15w=5×15
The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.
Which equation correctly matches the given situation?It follows from the task content that the equation which correctly represents the Given situation is to be determined.
Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;
Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.
Consequently, answer choice C; w = 5 × 15 is correct.
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Assume: Triangle CDE is a right triangle and Angle D is a right angle. What is the length of the missing side? A) 26 . B) 25 . C) 24 . D) 23 .
Answer:
Length of base DE = 24 units
Step-by-step explanation:
Given:
In given triangle, right angle at D
SO,
Perpendicular of given triangle = 32 unit
Hypotenuse of given triangle = 40 unit
Find:
Length of base DE
Computation:
Using Pythagoras theorem
Base = √Hypotenuse² - Perpendicular²
Length of base DE = √Hypotenuse of given triangle² - Perpendicular of given triangle²
Length of base DE = √40² - 32²
Length of base DE = √1,600 - 1,024
Length of base DE = √576
Length of base DE = 24 units
A solution of ibuprofen contains 150g in 800ml. What is the percent strength of this solution?
Answer:
18.75 percent
Step-by-step explanation:
150 / 800 x 100 = 18.75
Find the midpoint on segment AB; A (0, 6), B (4, 2)
Answer:
2,4
Explanation:
Because a midpoint is the middle of the line
Answer:
\(mAB=(2,4)\)
Step-by-step explanation:
Step 1: Use the midpoint formula to solve
\(mAB=(\frac{x1 +x2}{2},\frac{y1+y2}{2} )\)
\(mAB=(\frac{0+4}{2},\frac{6+2}{2} )\)
\(mAB=(\frac{4}{2},\frac{8}{2} )\)
\(mAB=(2,4)\)
Therefore the midpoint on the line segment AB is (2,4)
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
A chord that is 24 cm long is 4 cm closer to the center of a circle than a chord that is 20 cm long. What is the radius of the circle?
Answer:
(mkkwkskskwkwskskwkwi
20,000 ten thousands equals how many hundred thousands
20,000 ten thousand equals 2000 Hundred thousand.
As per the question statement, we are provided with a value: "20,000 ten thousand".
We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.
To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, \((20000*10,000)=200000000\).
As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.
Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as \((100,000*x)=200000000\)
\(or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000\)
Hence, 20,000 ten thousands equals 2000 Hundred thousands.
Linear Equation: linear equations: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.Variable: n Mathematics, a variable is a symbol or a representative of a value, which is unknown.To learn more about Linear Equations, click on the link below.brainly.com/question/27664510
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can you solve this question?
By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.
How to calculate the valueThe Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:
ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)
ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.
ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).
Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:
ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)
Substituting the given values, we get:
2/c = [ 2ln7 - 2ln1 ] / (7 - 1)
2/c = ln7
c = 2 / ln7
c ≈ 0.909
Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.
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Find the value of PR if Q is between P and R
when PQ=25, PQ=2x+1, and QR=x.
X
ат
X=8
Answer:
\(PR = 37\)
Step-by-step explanation:
Given
\(PQ = 25\)
\(PQ = 2x +1\)
\(QR = x\)
Required
PQ
Since Q is between the given points, then:
\(PR = PQ + QR\)
This gives:
\(PR = 2x + 1 + x\)
Collect like terms
\(PR = 2x + x+ 1\)
\(PR = 3x + 1\)
Next, solve for x
We have:
\(PQ = 25\)
\(PQ = 2x +1\)
This gives:
\(2x + 1 = 25\)
Collect like terms
\(2x = 25 -1\)
\(2x = 24\)
Divide by 2
\(x = 12\)
So:
\(PR = 3x + 1\)
\(PR = 3 * 12 + 1\)
\(PR = 37\)
Is this correct I’m so confused
Given that P = 4s is the square's perimeter, L = (4s) h is the square-based prism's lateral area then the
lateral surface area \($=2195 \quad \mathrm{~cm}^2$\)
total surface area \($=5759 \quad \mathrm{~cm}^2$\)
How do you find the lateral area and surface area of a prism?Any right rectangular prism has lateral surfaces equal to the product of the base's perimeter and the prism's height. A rectangular prism's lateral surface area (LSA) is therefore equal to 2 (l + w) h square units.
This is the equation for a particular cylinder's total surface area. Its radius is r and its height is h.
SA=2B+ph, where SA stands for surface area, B for the prism's base area, p for the base's perimeter, and h for the prism's height, can be used to calculate a prism's surface area.
L = Ph yields the lateral area of a prism. Let s stand for the width of a square's side and h for the height of each prism. Given that P = 4s is the square's perimeter, L = (4s) h is the square-based prism's lateral area.
lateral surface area \($=2195 \quad \mathrm{~cm}^2$\)
total surface area \($=5759 \quad \mathrm{~cm}^2$\)
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Convert 2,430 yards to km
Answer:
2.221992
Step-by-step explanation:
can i have the crown pls ૮ ♡ﻌ♡ა
Answer:
2.221
Step-by-step explanation:
a) Si 9 pelotas cuestan 75 pesos, halle el costo de dos docenas de pelotas.
Answer:
200
Step-by-step explanation:
pelotas/pesos
9/75=24/× 24 son 2 docenas
multiplica 75 con 24 entonces divide por9