Thomas invested $1498.00 at 6% simple interest per annum calculate How long it will be before his investment earns $449.40

Answers

Answer 1

Answer:

t = 6 years

Step-by-step explanation:

Use the simple interest formula:  i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.

Here we want to know how long it will take for the interest alone to reach $449.40.  We first solve i = prt for t, obtaining t = i/(pr).

Here, the length of time is t = ($449.40) / (0.06*$1498.00).  This works out to

t = 5.9947, or approximately 6 years.

t = 6 years


Related Questions

What is the slope of the line that passes through the points (5, 6)(5,6) and (5, 9) ?(5,9)? Write your answer in simplest form.

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

You can use slope formula (y - y)/(x - x) and you will get a zero on the bottom (never allowed) OR notice that the x's are the same so sketch a graph, the line is vertical...that means that slope is undefined.

Helppppp, please look at the question

Answers

Ok done. Thank to me:>

I need answers to these questions

Answers

Answer is in the attached file...

if r and s represent the solutions of the equation below and r>s, what is the value of the difference r-s?

(3x+14)x=5

Answers

Answer:

16/3

Step-by-step explanation:

(3x + 14)x = 5

3x² + 14x = 5

3x² + 14x - 5 = 0

3x² + 15x - x - 5 = 0

3x(x + 5) - 1(x + 5) = 0

(3x - 1)(x + 5) = 0

x = 1/3 & -5

Here,

r = 1/3

s = -5

r - s

1/3 - (-5)

1/3 + 5

1 + 15/3

16/3

the value of the difference r-s is [tex]\bold{\frac{16}{3}}[/tex]

Answer:

Solution given:

(3x+14)x=5

opening bracket

3x²+14x=5

3x²+14x-5=0

Doing middle term factorisation

3x²+(15-1)x-5=0

3x²+15x-x-5=0

3x(x+5)-1(x+5)=0

(3x-1)(x+5)=0

either

x=-5

or

3x-1=0

3x=1

x=⅓

According to question value of x is r>s

so

⅓>-5

so

r=⅓

and

s=-5

Now

r-s=-(-5)=[tex]\frac{1+5*3}{3}=\frac{16}{3}[/tex]

The image of a point k(-3,4) under a translation 5/2 is

Answers

Answer:

try to use automath, it really helps

if x and y are positive numbers xy = 96 what is the value of x

Answers

The value of x is 96/y where y is not equal to zero.

Given the expression that relates x and y as xy = 96

We are told that x and y are positive numbers. To get the value of x, we will divide both sides by y as shown:

[tex]xy = 96\\\frac{xy}{y} =\frac{96}{y} \\x = \frac{96}{y} \\[/tex]

From the result, we can conclude that the value of x is 96/y where y is not equal to zero.

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An ice cream shop sells ice cream cones, c, and
milkshakes, m. Each ice cream cone costs $1.50
and each milkshake costs $2.00. Donna has $19.00
to spend on ice cream cones and milkshakes. If she
must buy 5 ice cream cones, which inequality could
be used to determine the maximum number of
milkshakes she can buy?

Answers

Answer:

$7.50+m > $19

The inequality to be used for determining the maximum number of milkshakes she can buy will be in the form of:

[tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]

  The inequality in the position or the relationship between two variables in order to make the total either greater than, less than, or greater than equal to, or less than equal to the total amount.  

The inequality can be between numbers or algebraic expressions.  

In the given case,

Per unit cost of ice cream cone $1.50 Per unit cost of milkshakes $2.00 The total amount for spending is $19.00 Number of ice cream cones bought 5  

To determine the inequality for the number of milkshakes the inequality will be formed as follows:  

The total cost of ice cream cones will be added with the total cost of milkshakes (where m is the number of milkshakes) and the sign used will be greater than or equal to the given amount to be spent.  

Therefore, the inequality will be  [tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]

  To know more about inequality, refer to the link:

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b89a4ed3c54f7a92e4c4c9dc4
3283b6a.jpeg
Find the area of the shape shown below.

Answers

Answer:

28 units.

Step-by-step explanation:

Area of square + Area of triangle + Area of rectangle = Area of figure shown

=> (4 x 4) + (1/2 x 4 x 2) + (2 x 4) = Area of figure shown

=> 16 + 4 + 8 = Area of figure shown

=> 28 = Area of figure shown

Therefore, the area of the figure is 28 units.

Hoped this helped.

Answer:

28 units.

Step-by-step explanation:

Act like the shape is just a normal rectangle, because thats easy to do. If it was a full rectangle the length would be 8 and the width would be 4. The formula for finding area of a rectangle is length times width so 8x4 is 32. Now, to find the actual area of the shape, you have to subtract a bit. (I'll add a picture to better explain what I am meaning) You imagine see a mini rectange in the corner with a length of 4 and a width of 2. The area for that is 8. But, only half of that imaginary rectangle is in the actual shape so subtract half of that shape (4) from the original 32 and you get 28. The area is 28 units.

!!!!!!!!!!!!!!determine which of these are perpendicular parallel or none

Answers

Line A and B are perpendicular and Line A and C are parallel

Answer:

Parallel: a and c

Perpendicular: a and b, c and b

Step-by-step explanation:

Basically you would want to isolate for y.

Line a:

4y - 12x = 20

4y = 12x  + 20

y = 12x/4 + 20/4

y = 3x + 5

Line b:

3y = -x+2

y = -x/3 + 2/3

Line c:

y=3x - 1

Now look at each line and compare their slopes.

-Lines a and c have same slope., thus they are parallel.

-lines a and b are perpendicular because the slopes are negative reciprocals each other

-lines b and c are also perpendicular

Sally is paid to walk her neighbor’s dog every day.Every month she is paid she puts away $20 and saves the rest.Write an expression that represents the amount she will save in 6 months if she earns m dollars each month.If she’s paid $65 each month how much will she save in 6 months?

Answers

Answer: she would have saved 120$$

Step-by-step explanation:

80 as the product of it prime factors in ascending order

Answers

Answer:

Factors of 80: 1, 2, 4, 8, 10, 20, 40, and 80.

Prime Factorization of 80: 80 = 24 × 5.

Step-by-step explanation:

Answer:

This is true

Step-by-step explanation:

This is true because of the communitive property that makes the numbers you multiply the same product in different orders

what is the slope of the line that goes through 11,2 and 14,16

Answers

Step-by-step explanation:

m = y2-y1/x2-x1

m = 16 - 2/ 14 - 11

m = 14/3

m = 14 / 3

Hope it helps.

If you subtract 17 from my number and multiply the difference by ​-2, the result is ​-10." What is the ​number?

Answers

Answer:

22

Step-by-step explanation:

-10/-2 is 5

5+17 is 22

Write an equivalent expression.

1. 8(y - 7)

2. -2x + 7

3. 3/5x + 2/5 + 3/5x

Answers

Answer:

8(y - 7) =8y-7-2x+7=7/2=3.5

The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expressions are;

1. 8 (y - 7)

2. - 2 (x + 7)

3. 3/5x + 2/5 + 3/5x

Now,

Solve all the expression as;

1. 8 (y - 7) = 8 × y - 8 × 7

              = 8y - 56

Thus,  8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2 × x - 2 × 7

                  = - 2x - 14

Thus, - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = 3/5x + 3/5x + 2/5

                              = (3x + 3x)/ 5 + 2/5

                              = 6x / 5 + 2/ 5

                              = (6x + 2) / 5

Thus, 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Therefore, The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Learn more about the expression visit:

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Find the missing factor

Answers

Answer:

[tex](x^4y^5)(x^2y^4)[/tex]

Step-by-step explanation:

Keep these things in mind:

[tex]x^3\times x^3=x^{3+3}=x^6\\\\(x^3)^3=x^{3\times3}=x^9[/tex]

Using those, simplify the left side of this equation:

[tex](x^2y^3)^3\\x^6y^9[/tex]

Now we know what the exponents need to become, so we can find the difference between those and what we have on the right:

[tex]6-4=2\\9-5=4[/tex]

We need to add a 2 to the x, and add a 4 to the y.

[tex](x^4y^5)(x^2y^4)[/tex]

An amusement park has two themed resorts, Stargazer Suites and Retro Retreat. The graph and table below display the cost of the stay, y, for different numbers of nights, x, for the two different resorts.
Which statement correctly compares the nightly rates at Stargazer Suites and Retro Retreat?

The nightly rate at Stargazer Suites is $15 more than the nightly rate at Retro Retreat.

The nightly rate at Stargazer Suites is $25 more than the nightly rate at Retro Retreat.

The nightly rate at Retro Retreat is $30 more than the nightly rate at Stargazer Suites.

The nightly rate at Retro Retreat is $80 more than the nightly rate at Stargazer Suites.

The nightly rate at each resort is the same.

Answers

Answer:

to confusing

Step-by-step explanation:

Answer:

The nightly rate at Stargazer Suites is $25 more than the nightly rate at Retro Retreat.

Step-by-step explanation:

what is cosec32°/sec58°=

Answers

Answer:

1

Step-by-step explanation:

Using the cofunction identity

sec(90 - x) = cosecx , then

sec(90 - 58)° = cosec32° , so

[tex]\frac{cosec32}{sec58}[/tex]

= [tex]\frac{cosec32}{cosec32}[/tex]

= 1

Colton wants to buy a trampoline in 2 months the trampoline costs $228,
if he saves each month how much will he have to save each month?

Answers

Answer:

114 each month

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

228 divided by 2 = 114

questions
124 - 444 = ...
345 - (-7) × (-6) = ...​

Answers

Answer:

-320; 303

Step-by-step explanation:

Well... you could really just use a calculator to do this, I mean?

124 - 444 = -320

345 - (-7)*(-6) = 345 - 42 = 303

Answer:

1) 320

2) 303

Step-by-step explanation:

1) simple Subtraction

2) first multiply -7 & -6 = 42

then 345-42 = 303

Hey guys, i need help on this one, thanks in advance.

Find the slope of the equation:

x - 5 = 3 ( y + 4 ) -2y + 1

if you could add step's please do.

Answers

Answer:

slope = 1

Step-by-step explanation:

1) expand those brackets on the left side my multiplying

x - 5 = 3y + 12 - 2y + 1

2) simplify by collecting like terms

x - 5 = y + 13

3) bring -5 to the right side by adding 5

x = y + 18

4) let's rearrange this equation in the form y = mx + c where m is the gradient (slope) and c is the y intercept. by subtracting 18 on both sides

y = (1)x - 18 (there is a 1 in front of the x, but we don't write it like that. m is 1)

y = x - 18

the slope is the gradient, which is 1

Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile

Answers

Answer:

The second one. 30 minutes ÷ 6 miles.

Step-by-step explanation:

You want to find how long it took Jamaal to run one mile.

30 minutes ÷ 6 miles = 5 minutes.

So Jamaal can run one mile in 5 minutes.

Option B, 30mins/6miles

Evaluate -(2-6)(23).
O A. -8
B.
1/8
C. 8
O D.
- 1 / 8

Answers

Answer:

92

Step-by-step explanation:

- ( 2 - 6 )

= - ( - 4 )

= 4

- ( 2 - 6 ) ( 23 )

= 4 x 23

= 92

The evaluation of  - (2- 6) ( 23) is 92

In mathematics, evaluation is a systematic method used in solving expressions. From the given information, we need to first solve the expressions in the brackets before multiplying them together.

From the given information:

= - ( 2 - 6) (23)

= - ( -4) (23)

= 4 × 23

= 92

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Solve for x. Round your answer to the nearest tenth if necessary.
70°
6
X

Answers

Answer:

Tan 70 = opp/adj

Tan 70 = x/6

multiply by 6 on both sides

16.5 = x

Marks test scores for this semester were 83,80,91,74,66,95,87,72,95,97 what is the mode of his test scores

Answers

Answer:

95

Step-by-step explanation:

Mode is what is the most frequent number that occurred; 95 occurred the most from the data.

what is the least common denominator of 10 and 14​

Answers

Answer:

70

Step-by-step explanation:

Given -

the least common denominator of 10 and 14 is - *70*

Prime factor of 14 are 2 and 7

14 = 2 * 7

Prime factor of 10 are 2 * 5

10 = 2 * 5

Now Multiplying the highest exponent prime factor to calculate the LCM of 14 and 10

LCM (10,14) = 2 * 5 * 7

LCM (10,14) = 70

Researchers claim that 90% of people are left handed. Suppose the researchers' claim is true. Mrs. Reyes has a Statistics class with 30 students. What is the probability that exactly 25 of them are left handed?

Answers

Answer:

10.23% to the nearest hundredth.

Step-by-step explanation:

This is a Binomial Probability Distribution.

If exactly 25 are left handed then exactly 5 are right handed.

So (probability that exactly 25 are left handed)

= 30C5*(0.1)^5(0.9)^25

= 0.1023047706

= 10.23%.

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

This problem involves the binomial probability distribution, where we have a fixed number of trials (30 students in this case), and each trial has two possible outcomes (left-handed or not left-handed).

The probability of success (a student being left-handed) is 0.9, based on the researchers' claim.

The probability of a failure (a student not being left-handed) is 1 - 0.9 = 0.1.

We want to find the probability that exactly 25 students out of 30 are left-handed.

This can be calculated using the binomial probability formula:

[tex]P(X = k) = ^nC_ kp^k (1 - p)^{n-k}[/tex]

where:

n = 30 (the number of trials)

k = 25 (the number of successes we want)

p = 0.9 (the probability of success in each trial)

Plugging in the values, we get:

[tex]P(X = 25) = ^{30}C_ {25}~ 0.9^{25} ~0.1^5[/tex]

Using a calculator or statistical software, we can find that:

P(X = 25) ≈ 0.2031

Therefore,

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

Learn more about probability here:

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PLZ HELP find the y and x-intercepts. y=-2x+4 PLEASE EXPLAIN

Answers

[tex]\text{Given that,}\\\\y = -2x+4\\\\\text{Plug y= 0 to find the x-intercept,}\\\\0 = -2x +4\\\\\implies 2x = 4\\\\\implies x = \dfrac 42 = 2\\\\\text{So the x - intercept is (2,0)} \\ \\\text{Plug x =0 to find the y-intercept.}\\\\y = -2(0) +4 = 0 +4 = 4\\\\\text{So the y - intercept is (0,4)} \\[/tex]

Can you Explain your thinking.

Answers

Answer:

Record yourself explaining your thoughts and listen to the recording. Continue re-recording what you say and listening to your recording until it sounds they way you want it to.

Show Work to factor the binomials.

Answers

[tex](14)\\\\x^2 + 14x +45\\\\=x^2 +5x +9x +45\\\\=x(x+5) +9(x+5)\\\\=(x+9)(x+5)\\\\(15)\\\\x^2 +18x +45\\\\=x^2 +15x +3x +45\\\\= x(x+15) +3(x+15)\\\\=(x+3)(x+15)\\\\\\(16)\\\\x^2+46x+45\\\\=x^2 +45x +x +45\\\\=x(x+45) +(x+45)\\\\=(x+45)(x+1)[/tex]

The graph of a function is shown on the coordinate plane below. Identify the rate of
change of the function.

Answers

Answer:  7/4

=========================================================

How to get that answer:

The slope is the rate of change for any linear function.

Apply the slope formula for any two points on the diagonal line.

I'll use the points (-4, -3) and (0, 4)

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{0-(-4)}\\\\m = \frac{4+3}{0+4}\\\\m = \frac{7}{4}\\\\[/tex]

The slope is m = 7/4

This indicates that each time we go up 7 (rise), we also go to the right 4 units (run)

slope = rise/run = 7/4

rise = 7, run = 4

The fraction 7/4 converts to the decimal form 1.75

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