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Karolina [17]
3 years ago
10

Does the equation y = 23x + 1 represent a direct variation? Why or why not?

Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

no

Step-by-step explanation:

The equation of 2 quantities varying directly is

y = kx ← k is the constant of variation

y = 23x + 1 is not in this form so does not represent direct variation.

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A investor obtained a loan of $600,000 to buy a car wash business. The monthly mortgage payment was based on 30 years at 5.5%. F
Lisa [10]

Answer:

The monthly mortgage payment is $ 8306.58

Step-by-step explanation:

Given as :

The loan taken as $ 600,000

The rate of interest = 5.5 %

The time period = 30 Years

So, from compounded method

Amount = principal × (1 +\frac{Rate}{100})^{Time}

or, Amount = $ 600,000 × (1 +\frac{5.5}{100})^{30}

Or, Amount =  $ 600,000 × (1.055)^{30}

∴   Amount = $ 2990370.77

<u>Now for The monthly mortgage payment </u>

∵ Time period is 30 years

So , 30 years = 12 × 30 = 360 months

∴ Amount payment in monthly =$ \frac{2990370.77}{360}

Or, Amount payment in monthly =$ 8306.58

Hence The monthly mortgage payment is $ 8306.58   Answer

4 0
4 years ago
Due to inflation, prices increased by 45% and then dropped by 20%. By what percent did prices increase overall?
lesya [120]
Because you increased by the percent THEN decreased by a different percent, you subtract both percents because they are of like terms. So you do 45%-20% which equals 25% which is what’s left after dropping the total.
7 0
3 years ago
Read 2 more answers
Please answer right away
kompoz [17]

Answer:

2294 balls is the approximate number of balls

Step-by-step explanation:

Find the volume occupied a ball of radius 3inches

Volume of a sphere=4/3 \pi×r³

where r is the radius in inches

4/3× \pi×3³ = 36 \pi

=113.11 in³

Find volume of a rectangle prism

v=l×w×h where l is length of prism, w is width of prism and h is height of prism

L=10ft=10×12=120 inches

w=5ft=5×12=60 inches

h=3ft= 3×12= 36 inches

v=120×60×36=259200 in³

Number of balls needed

N=volume occupied by a single ball/volume of the rectangular prism

N=259200/113.11 =2291.57⇒2292 balls

6 0
4 years ago
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 7) and (3, 3), what
Fynjy0 [20]

Answer:

y= -1/4×-1 &نsjbsbbiebevjbdheueb

7 0
2 years ago
Write an equation in Slope-Intercept Form using the table below. ​
Veseljchak [2.6K]

Answer:

y = x + 46

Step-by-step explanation:

When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, choose two pairs of coordinates to use for solving the slope of the line:

Let (x1, y1) = (0, 46)

(x2, y2) =  (1, 47)

User the following formula for slope

m = \frac{y2 - y1}{x2 - x1}

Plug in the values of the coordinates into the formula:m = \frac{y2 - y1}{x2 - x1} = \frac{47 - 46}{1 - 0} = \frac{1}{1} = 1

Therefore, the slope (m) = 1.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.

Given the slope, m = 1, and y-intercept, b = 46, the linear equation in slope-intercept form is:

y = x + 46

Please mark my answers as the Brainliest if you find my explanations helpful :)

8 0
3 years ago
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