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VARVARA [1.3K]
3 years ago
8

А

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0

Answer:

74

Step-by-step explanation:

∡'s C and D are vertical angles and are equal; both are 74°

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I need help with 7-12
Anton [14]
7). C

8). 60
n = 5(10) + 10
n = 50 + 10
n = 60

9). 17
f(x) = -2x + 7 plug the -5 in for x
f(x) = -2(-5) + 7
= 10 + 7
= 17

10).
28.50j < 100 > 18.50s
8 0
3 years ago
What is the slope of this equation? y= -1/2x −3 option -3 0 -1/2
marissa [1.9K]

Answer:

The slope is -1/2

The slope is after the "y=" but before the "x" variable.

3 0
4 years ago
Find the sum of the coefficients in the expansion of (x+1)^12
MariettaO [177]

Answer:

<h2>2¹²</h2>

Step-by-step explanation:

The sum of the coefficients in the expansion of (x+1)^12:

= 12C0 + 12C1 + 12C2 + . . . + 12C11 + 12C12

the formula says that this sum equal to 2¹².

Other examples

The sum of the coefficients in the expansion of (x+1)^3:

3C0+3C1+3C2+3C3

=8 = 2³

The sum of the coefficients in the expansion of (x+1)^4:

4C0+4C1+4C2+4C3+4C4

=16 = 2⁴

:)

4 0
4 years ago
A sum of money is placed at simple interest for 3 years at 10% annum and then the amount is invested for 3 years at the same rat
fgiga [73]

Answer:

Initial principal -$300,000

Investment amount after yr 3-$390,000

Final investment amount, after 6 yrs-$519,090

Step-by-step explanation:

Let X be the amount initially invested.

#The amount after 3 yrs of simple interest is calculated as:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X

#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:

A=P(1+i)^2\\\\471900=1.3X(1.1)^2\\\\471900=1.573X\\\\X=300000

Hence, the amount initially invested as $300,000

#Amount of invested after 6 yrs is therefore:

A=P(1+i)^n\\\\=471900\times1.1\\\\=519090

Hence, the total amount of the investment after 6 yrs is $519,090

#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X\\\\=1.3\times 300000\\\\=390000

Hence, the total amount of the investment after first 3 yrs is $390,000

3 0
4 years ago
Which is the solution of x/5 -10 =20 ?
andreyandreev [35.5K]

Add 10 to both sides

x/5 = 2 + 10

Simplify 20 + 10 to 30

x/5 = 30

Multiply both sides by 5

x = 30 × 5

Simplify 30 × 5 to 150

<u>x = 150</u>

6 0
3 years ago
Read 2 more answers
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