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Marta_Voda [28]
3 years ago
14

You deposit $600 in a savings account. the account earn 4% simple interest per year.

Mathematics
1 answer:
12345 [234]3 years ago
8 0

Answer:

use some memes juice

Step-by-step explanation:

memes

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What’s the value of the expression x=5?
Colt1911 [192]

Answer:

0

Step-by-step explanation:

6 0
3 years ago
What could be the ordered pairs representing vertices C and D of quadrilateral abcd so that the new fire department is congruent
ohaa [14]
Given that <span>a city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire department is opening in a different part of the city to maximize fire protection. The size of the new department's property must be congruent to the older department. Vertices A and B are plotted on the grid to represent two vertices of the new fire department quadrilateral ABCD.

Map of Anytown; the line y equals 7 is Main Road; the line y equals 3 is Rose Lane; the line y equals negative 1 is Crystal Avenue; the line x equals negative 4 is Brick Street; the diagonal line is Dogwood Drive; Old Fire Department forms quadrilateral with ordered pairs R at negative 4, 7, S at negative 1, 7; T at negative 1, 3; U at negative 4, 3; A is at 4, negative 1 and B is at 1, negative 1

Recall that t</span><span>wo shapes are said to be congruent if the lengths of the sides and the angles are the same.

For quadrilateral RSTU to be congruent to quadrilateral ABCD, then RS = AB, RU = AD, ST = BC and TU = CD

Also, the figure ABCD is a result of a rigid body translation of the figure RSTU.

Given that R is at point (-4, 7) and A is at point (4, -1), also given that S is at point (-1, 7) and B is at point (1, -1).

It can be seen that points AB is a result of refrecting points RS across the y-axis and then shifting the resulting points down by 8 units.

Thus, given point T as (-1, 3) and point U as (-4, 3), refrection of points T and U across the y-axis will result in points (1, 3) and (4, 3), then shifting the resulting points down by 8 units will result to points (1, -5) and (4, -5)

Therefore, the ordered pairs representing vertices C and D of quadrilateral ABCD so that the new fire department is congruent to the old fire department are C(1, -5) and D(4, -5).</span>

3 0
3 years ago
State the horizontal asymptote of the rational function.<br> f(x) = x^2 + 9x-9/x-9
dusya [7]

Answer:

no horizontal asymptote

5 0
3 years ago
Crystal earns $5.50 per hour mowing lawns. A. Write a rule to describe how the amount of money m earned is a function of the num
Ivahew [28]
She earns $20.625 in 3 hours and 45 mins
6 0
3 years ago
You have 14 coins that are nickles and quarters that equals 2 dollars how do you solve using substitution?
sergejj [24]

Answer:

The question is incorrect but if half nickels and quarters exist then you could say the answer is 7.5 nickels and 6.5 quarters.

The problem:

14 coins that are either nickels are quarters

The total dollar amount of these coins is 2 dollars

Step-by-step explanation:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

I'm going to choose to solve the system by elimination.

Multiplying the first equation by .25 gives:

.25n+.25q=.25(14)

.25n+.25q=3.5

So let's line the equations up now:

.25n+.25q=3.5

.05n+.25q=2

---------------------If we subtract the equations, the variable q will be eliminated.                Thus, we will able to solve for the variable n.

.20n+0q=1.5

.20n=1.5

Dividing both sides by .2 gives:

n=7.5

If n=7.5 and n+q=14, then we have 7.5+q=14 by substitution property.

We can subtract 7.5 on both sides giving us:

q=14-7.5=6.5

We cannot have 7.5 nickels and 6.5 quarters but this satisfies the given information.

Check:

7.5+6.5=(7+6)+(.5+.5)=13+1=14

7.5(.05)+6.5(.25)=2

Now, the requested way which is by substitution:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

We can solve the first equation for either n or q and then substitute that into the other equation allowing us to solve for the other variable.

Let's solve for q by subtraction n on both sides:

q=14-n

We are going to replace q in the second equation with (14-n) giving us:

.05n+.25(14-n)=2

Distribute:

.05n+3.5-.25n=2

Combine like terms:

-0.2n+3.5=2

Subtract 3.5 on both sides:

-0.2n=-1.5

Divide both sides by -0.2:

n=7.5

Since q=14-n and n=7.5, then q=14-7.5=6.5 .

We are already check the solution above.

8 0
2 years ago
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