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Stels [109]
2 years ago
13

Isabella is calculating the interest earned on a deposit of $3000 in an account that earns 4% simple interest after 6 years I=pr

t I= 3000(.04)(6). A. I=3,720. Isabella determines that her deposit will then be worth 6,720.00. Explain what isabela did incorrect . B. what is the correct amount of interest. please show the work
Mathematics
1 answer:
Delvig [45]2 years ago
7 0

Answer:

Interest = $ 720

Step-by-step explanation:

p =  $ 3000

r = 4%

t = 6

I = 3000*\frac{4}{100}*6\\

= 30 *4 * 6

= 720

Amount  = p + I

               = 3000 + 720

               = $ 3720

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The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?
miv72 [106K]

Answer:

5x+3x=8x

8x = 32

x=32/8 = 4

boys are 4 x 5 = 20

girls are 4 x 3 = 12

Step-by-step explanation:

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(6,2) y-coordinate is 2

Step-by-step explanation:

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2 years ago
Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x
kherson [118]

Answer:  The correct line is

\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.

Step-by-step explanation:  We are given the following two sets of quadratic expressions in various forms:

\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),

and

x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.

So,

\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.

Thus, Line 1 contains three equivalent expressions.

Now,

\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),

and

x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.

So,

\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0
3 years ago
Evaluate each expression.
Greeley [361]

Answer:

a 16

b30

Step-by-step explanation:

you said c is 5 so 11 +5 and you said b was 2 so 15 times 2 Is 30

8 0
3 years ago
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