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3 years ago

Chris owes $920 on his credit card, which has a credit limit of $1800.

Mathematics

1 answer:

inn [45]3 years ago

7 0

Answer:

$880, $990 & debit card

Step-by-step explanation:

Credit:

-920 + 1800

$880

Debit:

$990

the debit card

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Of the last 20 balloons sold at a party store, 10 were blue. Considering this data, how many of the next 18 balloons sold would

Strike441 [17]

Answer:

9 blue balloons

Step-by-step explanation:

Let's create a proportion using the following set up.

blue balloons/total balloons=blue balloons/total balloons

We know that 10 blue balloons were sold if 20 total balloons were sold. We don't know how many blue are are sold if 18 total are sold. Therefore, we can say x blue are sold for 18 total sold.

10 blue/20 total=x blue/18 total

10/20=x/18

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 18. The opposite of division is multiplication. Multiply both sides by 18.

18*(10/20)=(x/18)*18

18*(10/20)=x

18*1/2=x

9=x

If 18 balloons are sold, 9 blue balloons would be expected to be sold.

4 0

3 years ago

The value V of a Porsche 718 Cayman that is t years old can be modeled by V(t) = 420,000(0.965)t (a) What would be worth the car

nordsb [41]

Answer:

A. V (2) = $ 391,114.50

B. t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days

Step-by-step explanation:

Given formula:

V(t) = 420,000 * (0.965)^t

A. What would be worth the car′s worth in 2 years?

V(t) = 420,000 * (0.965)^t

We replace t by 2, as follows:

V(2) = 420,000 * (0.965)²

V(2) = 420,000 * 0.931225

V (2) = $ 391,114.50

B. In how many years will the car be worth $325,000?

V(t) = 420,000 * (0.965)^t

We replace V(t) by 325,000, as follows:

325,000 = 420,000 * (0.965)^t

325,000/420,000 = (0.965)^t

0.77381 = (0.965)^t

t = log 0.965(0.7738)

t = log 0.7738/log 0.965

t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days

0.2 years = 0.2 * 12 = 2.4 months

0.4 months = 0.4 * 30 = 12 days

7 0

3 years ago

Given 6 terms what is the sum of 10+25+40+...+85

sdas [7]

Sn = n/2 ( a1+an)
= 6/2 (10+85)
= 3 (95)
= 285

3 0

3 years ago

What is the equation of a line that is perpendicular to the line y = 2x + 4 and passes through the point (-2, 3)?

maw [93]

Answer:

$y=-\frac{1}{2} x+2$

Step-by-step explanation:

The given equation is written in slope-intercept form:

$y=mx+b$

where:

m is the slope
b is the y-intercept
x and y are the corresponding coordinate points (x,y)

The slope is 2:

When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:

$m_{1}=2$

This can be seen as:

$m_{1}=\frac{2}{1}$

Flip the fraction (reciprocal):

$\frac{2}{1}$ → $\frac{1}{2}$

Now find the opposite:

$\frac{1}{2}$ → $-\frac{1}{2}$

So the slope of the perpendicular line is:

$m_{2}=-\frac{1}{2}$

Now make an equation written in point-slope form:

$y-y_{1}=m(x-x_{1})$

where:

m is the slope
$x_{1}$ and $y_{1}$ are the corresponding coordinate points $(x_{1},y_{1})$

Insert information:

$y-3=-\frac{1}{2} (x-(-2))\\\\y-3=-\frac{1}{2} (x+2)$

Simplify to slope-intercept form. Solve for y:

Use the distributive property:

$y-3=-\frac{1}{2}(x)-\frac{1}{2} (2)\\\\ y-3=-\frac{1}{2} x-1$

Add 3 to both sides to isolate the variable:

$y-3+3=-\frac{1}{2} x-1+3\\\\y=-\frac{1}{2} x+2$

:Done

6 0

3 years ago

Helpppppp I will give brainliest if right!!!!!! Explain!!!!!!!

Wewaii [24]

lines:

JK - PM

KL - MN

JL - PN

angles:

JKL - PMN

KLJ - MNP

LJK - NPM

also known as:

K - M

L - N

J - P

3 0

3 years ago