Mathematics College

Landry is opening two savings accounts. He is opening the first account with an initial deposit of $500. The account will compound continuously each year at a rate of 3%.

He is opening the second account with an initial deposit of $300. The account will compound continuously each year at a rate of 5%.

Landry would like to know how long it will take for the balance of the two accounts to be equal.

Create a system of equations to model the situation above, and use it to determine if there are any solutions. If there are any solutions, determine if they are viable or not.
There are two solutions and both are viable.

There is only one solution and it is viable.

There is only one solution and it is not viable.

There are no solutions.

Answers

Answer 1

There is only one solution and it is viable.

Answer 2

Answer:

B. there is only one solution, and it is viable

Step-by-step explanation:

Related Questions

Write an equation to solve each problem and then solve it. There are two numbers whose sum is 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers?

Answers

let
x------> larger number
y------> smaller number

we know that
x+y=53------> y=53-x-----> equation 1
3y=x+19-----> equation 2

substitute equation 1 in equation 2
3*[53-x]=x+19------> 159-3x=x+19----> 3x+x=159-19-----> 4x=140
x=140/4-----> x=35
y=53-x----> 53-35-----> y=18

the numbers are
35 and 18

please help me out i will reward brainliest

Answers

I can not see the picture so i caN NOT HELP SORRY

Anyone have the answer?!!!

Answers

The appropriate choice is ...
reflection across y = x.

giovanni justifies what is expression -4x - 8 is equivalent to -2( x + 1) - 2 ( x + 3 ) by letting x equal 3 in both expressions what is the value of each expression when x equals 3

Answers

Hello!

You put 3 in for x in both equations

Equation 1
-4(3) - 8 =

Multiply

-12 - 8 = -20

The answer is one of the ones with -20
------------------------------------------------------------------------------------------------------
Equation 2
-2(3 + 1) - 2(3 + 3)

Do what is in paraenthesis

-2(4) - 2(6)

Multiply

-8 - 12 = -20
------------------------------------------------------------------------------------------------------
The answer is C) -20 and -20

Hope this helps!

Answer:

C. -20 & -20

Step-by-step explanation:

If you substitute x for 3 in the expressions, they will both evaluate to -20.

Thus, the answer is -20

show this fraction as a decimal 1 1/4

Answers

1 = 1

1/4 is the same as 25/100 (if you multiply 25 top and bottom). 25/100 = 0.25

1 + 0.25 = 1.25

1.25 is your answer

hope this helps

Fraction: 1 1/4
Decimal: 1.25
Think about like this: kinda like money
1/4: 25 (cents)
2/4 50 (cents)
3/4 75 (cents)
4/4 100 (cents) or 1 (a dollar bill)
Hope that could help out!

Pythagorean theorem to determine if a triangle with sides 2 ft,5ft,4ft is a right triangle

Answers

[tex] a^2 + b^2 = c^2 [/tex]

[tex] 2^2 + 4^2 = 5^2 [/tex]

[tex] 4 + 16 = 25 [/tex]

[tex] 20 = 25 [/tex]

Since 20 = 25 is clearly a false statement, the three side lengths 2 ft, 4 ft, and 5 ft do not form a right triangle.

hey can you please help me posted picture of question

Answers

We have the following function:
C (n) = 20n + 15
Clearing t we have:
20n = c - 15
n = c / 20 - 15/20
Rewriting:
N (c) = (c-15) / 20
Answer:
The inverse function for this case is given by:
N (c) = (c-15) / 20
option B

205/1000 is less then are greater then 0.205

Answers

its equal to because 0.205 is 205/1000 as a fraction

What is the y-intercept of the quadratic y=-2x^2-4x-5 ?
(-5,0)
(0,-2)
(-1,3)
(0,-5)

Answers

y - intercept is f(0) then (0; m)

We have:

[tex]y=-2x^2-4x-5\to f(0)=-2(0)^2-4(0)-5=-5[/tex]

Answer: (0; -5)

The American flag is customarily made with its width and length in the ratio of 10 to 19. Which of the following dimensions is in the correct ratio for the flag?

Answers

Final answer:

The given dimensions do not match the American flag's customary ratio of 10 to 19. To find the correct dimensions, the numbers must divide to equal approximately 0.5263. None of the provided options are correct.

Explanation:

The American flag is customarily made with its width and length in the ratio of 10 to 19. To ensure the dimensions are correct, we must find a pair of numbers that, when divided, are in the same proportion as 10/19 (approximately 0.5263). Looking at the listed dimensions:

51 H (Height is not a width or length measurement, so we cannot confirm the ratio)

53 x 38 (53/38 = 1.3947 which is not equal to 10/19)

55 x 0.025 (55/0.025 = 2200 which is not equal to 10/19)

57 x (2.93, 3.59) (This does not provide a pair of length and width measurements)

59 (This is not a dimension)

Since none of the provided options has numbers that mirror the 10 to 19 ratio of the flag, none of these dimensions would be correct for an American flag. If we want to find dimensions that are proportional, we have to look for any two numbers that, when divided, equal approximately 0.5263. Hence, an example of a correct dimension following the flag's ratio would be 10 inches by 19 inches or any multiple thereof.

Which statistic is used to test a global hypothesis about a multiple regression equation?

Answers

Answer: an " F-statistic " .
_____________________________________________________

The Tigers’ first play when they had possession of the ball went for -3 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or lose?

Answers

On the first play the Tigers lost yards. The number of yards they lost was 3 yards. We know this because the integer that is shown is -3. This negative value is move to the left or down on the number line. It represents a negative change, and in football it is a loss of yards.

Answer:

The correct answer is (The Tigers lost 3 yards on that play.)

Suppose you choose two families at random. what is the chance that family a owns exactly one car and family b owns exactly one car?

Answers

the chances or possibility would be 50/50

-845 degree coterminal angle

Answers

check the picture below.

with negative angles, we go "clockwise", the same direction a clock hands move.

so -360-360-125 = -845.

so as you see in the picture, you go around twice, and then a little bit more, an extra 125°, landing you at -125°, or its positive counterpart, 235°.

What is the equation in slope-intercept form of the linear function represented by the table? x y –6 –18 –1 –8 4 2 9 12

Answers

Using the 2-point form of the equation for a line, you can write the equation as
y = (y₂ -y₁)/(x₂ -x₁)×(x -x₁) +y₁
If we let (x₁, y₁) = (4, 2) and (x₂, y₂) = (9, 12) this becomes
y = (12 -2)/(9 -4)×(x -4) +2
y = (10/5)×(x -4) +2
y = 2x -6

The equation in slope-intercept form of the given function is ...
y = 2x -6

Answer: y=2x-6

Step-by-step explanation:

Emily got a newjob that guarantees her a 6% raise every year. If she started out making 25,000, how long will it be before she doubles her current salary

Answers

It would take about 17 years for her to double her salary, since the salary is increasing 1,500 dollars a year. This means we divide 25,000/1,500 to get 16.66666 which we can round to 17.

Q #15 Graph ARTS With vertices R(6, 6), S(3, -6),and T(0, 3) and its image. over the Y -axis

Answers

The rule of reflection over y-axis
(x,y) ⇒⇒⇒ (-x,y)
Note point T will not change
the solution is as shown in attached figure

of the pizzas sold last week at vondras pizzaria 7/12 were large pizzas and 1/4 were extra large pizzas, what fraction of the pizzas aild were either large or extra large? enter your answer simplified and as a proper fraction

Answers

7/12 + 1/4
7/12 + 3/12 = 10/12

10/12 of the pizzas sold were either large or extra large

I hope this helps :)

Answer:

Step-by-step explanation:

7/12 + 1/4

7/12 + 3/12 = 10/12

10/12 of the pizzas sold were either large or extra large

A cross-section of a light reflector is a parabola. The bulb is located at the focus. Suppose the bulb is located 11 in from the vertex of the reflector.

Use this information to make the following determinations.
Model a cross section of the reflector by writing an equation of a parabola that opens upward and has its vertex at the origin.

Answers

An equation of a parabola that opens upward and has its vertex at the origin,

⇒ y² = - 8 x

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now,

The equation of the parabola turned to the left is to the negative side of the coordinate system is:

⇒ y² = - 2 p x

where, p is the parameter of the parabola

The relationship between the parameter and the focus is.

⇒ p = 2 f

=> p = 2 × 2

⇒ p = 4 cm

Then, the equation of the parabola is:

y² = - 2 p x

= - 2 × 4 x

= - 8 x

Therefore, An equation of a parabola that opens upward and has its vertex at the origin,

⇒ y² = - 8 x

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What is the total future value six years from now of $80 received in one year?

Answers

UGH MY CLOSEST ANSWER 13.3 :( sorry if the answer wasn't right

One side of a cube has an area of 25 centimeters squared. What is the surface area of the cube?

Answers

a cube has all equal sides, so every face in the cube is just a square, if the area of one of those square is 25 cm², that simple means,

[tex]\bf \textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=length~of\\ \qquad a~side\\ ------\\ A=25 \end{cases}\implies 25=s^2\implies \sqrt{25}=s\implies 5=s[/tex]

now, look at the picture below, a cube is really just 6 squares stacked up to each other at the edges, in this case, all 6 squares are 5x5.

so, simply get the area of all of them, and sum them up, and that's the surface area of the cube.

(5*5)+(5*5)+(5*5)+(5*5)+(5*5)+(5*5).

What is 134,500 rounded to the nearest ten thousand

Answers

130,000 because when you round 1-4 is rounded down and 5-9 is rounded up. If you were to round to the nearest ten thousand then you would look at the 134 and round down

130,000 because it is lower than 5 grand so you would round down because it is less than halfway to 140,00. Hope this helps

I need help

Circle P is below

Answers

1. remember all of them add up equal to 360 degree.
2. add all of them up together
[tex](4y + 6) + (7y - 7) + (20y - 11) = 360[/tex]
3. combine like term then solve for Y
4. you will figure the arc measure of BC when you get answer for Y.

20y-11+4y+6+7y-7=360
31y-12=360
31y=360+12
31y=372
y=372/31=12

BC=BA+AC=4y+6+7y-7=11y-1
BC=11*12-1=131⁰

Evaluate 7i^4-12i^2
-5
19
19i

Answers

The answer is 19
Hope this helps

The powers of i repeat every four terms, so i⁴ equals 1 and i² equals -1. The result of the evaluation is 19.

To evaluate the expression 7i⁴-12i². In complex numbers, i is the imaginary unit with the property that i² = -1. The powers of i repeat every four terms:

i¹ = i

i² = -1

i³ = -i

i⁴ = 1

Using these properties, we can simplify the expression:

7i⁴ is 7 times 1, which equals 7.

-12i² is -12 times -1, which equals 12.

Adding these together, we get 7 + 12 = 19.

Therefore, the evaluated expression is 19.

what is the answer to the problem above?

Answers

4 × 25 = 100
5 × 18 = 90
100/90 = 10/9 = 1 1/9

Find F'(x) for F(x) = [x^3,1] integral cos(t^4)dt

A. cos(1)-cos(x^12)
B. -3x^2cos(x^12)
C. cos(x^7)
D. -cos(x^12)

Answers

The upper limit is constant, so the derivative of the integral evaluated there is 0. The derivative of the integral evaluated at the lower limit is the product of the integrand evaluated at the lower limit and the derivative of the lower limit.
F'(x) = 0 -cos((x^3)^4)·3x^2
Simplifying, ...
F'(x) = -3x^2·cos(x^12)

The appropriate choice is ...
B. -3x^2cos(x^12)

MpRashawn recently spent $100 to open a store selling tee-shirts. At his business, he purchases plain tee-shirts for $11 each, prints graphics on them, and then sells them for $26 each. What is the minimum number of tee-shirts that Rashawn would need to sell in order to make a profit (total income minus total expenses) of at least $400?

Answers

26-11=15
400÷15=26,(6)
He would need to sell 27 T-shirts

Rashawn would need to sell 20 T-Shirts in order to make a profit of at least $400.

What is profit percentage?

SP-CP divided by CP multiplying with 100 we get profit percentage.

P= [(SP-CP)/CP ] × 100

Given the following details about Mr. Rashawn.

Mr. Rashawn recently spent = $100 to open a store selling tee-shirts

He purchases plain tee-shirts for = $11 each

Then sells them for = $26 each

Profit on each shirt = $26 - $11 = $15

Profit = $400 -$100= $ 300

Number of t- shirts= $300/15 = 20 T -shirts.

Thus, Rashawn would need to sell 20 T-Shirts in order to make a profit of at least $400.

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Sergio runs 2 1/4 miles in 30 minutes. Write the ratio in fractional form and determine Sergio's speed in miles per hour.

Answers

[tex] \dfrac{ 2\dfrac{1}{4} }{ \dfrac{30}{60} } \\ \\ = \dfrac{9}{4} \div \dfrac{30}{60} \\ \\ = \dfrac{9}{4} \times \frac{60}{30} \\ \\ = 4.5[/tex]

4.5 miles per hour.

Hope this helps. - M

Final answer:

Sergio runs at a speed of 4.5 miles per hour. The ratio of his running distance to time is 9/2.

Explanation:

To determine Sergio's speed in miles per hour (mph), we use the equation: speed = distance/time. Sergio runs 2 1/4 miles in 30 minutes. First, we need to convert the fractional distance to a decimal and the time to hours. 2 1/4 miles is equal to 2.25 miles and 30 minutes is equal to 0.5 hours.

Substitute these values into the equation:

speed = 2.25 miles/0.5 hour = 4.5 mph.

Therefore, Sergio's running speed is 4.5 miles per hour. The ratio of distance to time in fractional form would be 9/2.

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What is the growth factor of the following example? Assume time is measured in the units given. A forest shrinks 80% per century.

Answers

1 -80% = 0.20

The growth factor is 0.20 per century.

need help fast don't understand both A and B show work please

Answers

Problem A
Usually the number of bits in a byte is 8 or 16 or 32 and recently 64. You don't have to write a formula to restrict it to this number of bits. You are not asked to do so. The general formula is 2^n - 1 for the problem of Millie and her golden keys. Somehow the system can be made to choose the right number of bits. Apple IIe s for example, used 8 bits and there was a location that told the processor that fact.

2^n - 1 <<<<< Answer

Problem B
In this case n = 4
2^n - 1 = 2^4 - 1 = 16 - 1 = 15

Millie can collect 15 keys <<<<<< Answer

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