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Alona [7]
3 years ago
11

Mr. Sheffield earns 2680per month after taxes. He budgets 3/10 of his income for his mortgage, 15% for food and clothing, 13% fo

r utilities, 1/8 for his car payment, and 7% for gas. How much money does he have left?
Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer:

603

Step-by-step explanation:

2680 x 3/10 =804

2680 x 15% = 402

2680 x 13% = 348.40

2680 x 1/8 =   335

2680 x 7% =  <u> 187.60  </u>

                       2077

2680 - 2077 = 603

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What is the explicit formula for this sequence?<br> -7, -3, 1, 5, ...
alukav5142 [94]

Answer:

Step-by-step explanation:

a1 = - 7

d = 4

an = a1 + (n - 1) * d

an = - 7 + (n - 1) * 4

an = - 7 + 4n - 4

an = -11 + 4n

Try this out. Let n = 3

a3 = -11 + 4*3

a3 = - 11 + 12

a3 = 1   Which is what the series says.

8 0
3 years ago
f the length of side a is 12 centimeters, m= 36°, and m= 75°, what is the length of side b? Round your response to two decimal p
-Dominant- [34]

Answer:

Option C. is correct

Step-by-step explanation:

In the triangle ABC, vertices are A(12, 8), B(4, 8) and C(4, 14)

AB =

BC =

AC =

In triangle XYZ vertices are X(6,6), Y(4,12) and Z(10, 14)

XY =

YZ =

XZ =

In triangle MNO, vertices are M(4, 16), N(4, 8) and O(-2, 8)

MN =

MO =

NO =

In triangle JKL, vertices are J(14, -2), K(12,2) and L(20, 4)

JK =

KL =

JL =

Now we compare the sides for the congruence

Since AB = MN = 8

BC = NO = 6

AC = OM = 10

So ΔABC ≅ Δ MNO

Option C. is correct

Read more on Brainly.com - brainly.com/question/1747695#readmore

3 0
3 years ago
Which graph represents the arithmetic sequence 8 6 4 2 0
Nataliya [291]
Linear, because the points (1,8) (2,6) (3,4) etc are decreasing at a constant rate of -2.
7 0
3 years ago
Read 2 more answers
2(4 - 2r) = -2(r + 5)
Alexus [3.1K]
2(4 - 2r) = -2(r + 5)

First, divide both sides by -2. / Your problem should look like: -4 + 2r = r + 5
Second, regroup your terms. / Your problem should look like: 2r - 4 = r + 5
Third, add 4 to both sides. / Your problem should look like: 2r = r + 5  + 4
Fourth, add r + 5 + 4 to get r + 9. / Your problem should look like:2r = r + 9
Fifth, subtract r from both sides. / Your problem should look like: 2r - r = 9
Sixth, subtract 2r - r to get r. / Your problem should look like: r = 9

Answer: r = 9

5 0
3 years ago
Read 2 more answers
Let D = {-48, -14, -8, 0, 1, 3, 16, 23, 26, 32, 36} Determine which of the following statements are true and which are false. a)
morpeh [17]

Answer:

\forall x\in D if x is odd then x> 0 is true statement.

\forall x\in D if x is odd then x> 0 is true statement.

\forall x\in D if x is even then x≤0 is false statement.

\forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4 is true statement.

\forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2 is false statement.

Step-by-step explanation:

Consider the provided information.

D = {-48, -14, -8, 0, 1, 3, 16, 23, 26, 32, 36}

Part (A) \forall x\in D if x is odd then x> 0

Here only even numbers are less than 0 that means the statement is true.

\forall x\in D if x is odd then x> 0 is true statement.

Part (B) \forall x\in D if x is less than 0 then x is even.

Here only even numbers are less than 0 that means the statement is true.

\forall x\in D if x is odd then x> 0 is true statement.

Part (C) \forall x\in D if x is even then x≤0

Here we can see that 16, 26, 32, 36 are even number and also greater than 0. Thus the statement is false.

\forall x\in D if x is even then x≤0 is false statement.

Part (D) \forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4.

There is only one number whose ones digit is 2. i.e. 32 also the tens digit of the number 32 is 3. Which makes the above statement true.

\forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4 is true statement.

Part (E) \forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2.

Numbers having ones digit 6 are: 16, 26 and 36

Here, the tens digits are 1, 2 and 3 which is contradict to our statement. Hence the provided statement is false.

\forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2 is false statement.

8 0
3 years ago
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