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3 years ago

Write and evaluate the expression. Then, complete the statements.

Mathematics

2 answers:

faust18 [17]3 years ago

6 0

Answer:

First, write the expression

✔ 30/t – 10

Second,

✔ substitute

2 in for the variable, t.

Third,

✔ simplify

by using

✔ order of operations

The answer is

✔ 5

]

Step-by-step explanation:

Leni [432]3 years ago

4 0

Answer:

The Answer is 5

Step-by-step explanation:

First, write the expression

30/t – 10

Second,

substitute

2 in for the variable, t.

Third,

simplify

by using

order of operations

The answer is

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To a box that contained 30 pencils 10 out of which were red several more non-red pencils were added. Now 25% of all pencils in t

Anastasy [175]

Answer:

The Amount of Non-red pencil which were added to the box = 10

Step-by-step explanation:

Given as :

The number of pencils in a box = 30

The number of red pencils in a box out of 30 = 10

So , the number of Non-red pencils = 30 - 10 = 20

Again let the number of Non-red pencils which added further = x

So, now the amount of total pencil get increase to (30+x)

Among (30+x) pencils in box,25% of them are red ,

I.e The number of red pencils in a box out of (30+x) = 25% of (30+x)

And the number of Non-red pencils = 20 + x

SO, according to question

25% of (30+x) + (20+x) = (30+x)

Or, (20+x) = (30+x) - (25% of (30+x))

Or, 20+x = (30+x) [ 1 -( $\frac{25}{100}$ ]

Or, 20+x = (30+x) ( $\frac{3}{4}$

Or, 80+4x = 90+3x

or 4x - 3x = 90-80

Or, x = 10

Hence the number of Non-Red pencils in the box which added further = 10 Answer

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3 years ago

Jim saw that other bank offered the same rates but compounded the interest more often. Consider if he still put $15,000 into a s

Kazeer [188]

Compound interest is the addition of interest on the interest of the principal amount.

<h3>What is compound interest?</h3>

Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,

$A = P(1+ \dfrac{r}{n})^{nt}$

As it is given that the principal amount is $15,000; while the rate of interest is 2.8%, and the amount is invested for a period of 5 years.

A.) When the interest is charged weekly,

As we know that there are 52 weeks in a year, therefore, n = 52, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{52})^{52 \times 5}\\\\A = \$17,253.46$

B.) When the interest is charged daily,

As we know that there are 365 days in a year, therefore, n = 365, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{365})^{365 \times 5}\\\\A = \$19,554.55$

C.) When the interest is charged Continuously,

As we know that the formula for continuous compounding is given as,

$A = Pe^{rt}$

Substitute the values, we will get,

$A = 15000 \times (e^{0.024 \times 5})\\\\A= \$16,912.45$

D.) When the interest is charged Monthly,

As we know that there are 12 months in a year, therefore, n = 12, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{12})^{12\times 5}\\\\A = \$15211.23$

E.) When the interest is charged Semi-annually,

As we know that the interest is charged Semi-annually, therefore, n = 2, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{2})^{2\times 5}\\\\A = \$17,237.36$

F.) When the interest is charged Quarterly,

As we know that the interest is charged Quarterly, therefore, n = 4, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{4})^{4\times 5}\\\\A = \$17,245.7$

Learn more about Compound Interest:

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3 years ago

Read 2 more answers

Finding numbers divisible by 2 and 5 between two specific numbers

AfilCa [17]

Answer:

Step-by-step explanation:

between 9 and 11

10 is divisible by 2 and 5

8 0

3 years ago

PLS I NEED HELP!! For each linear function graphed on the coordinate grid, enter the value of m and the value of b. Give your an

creativ13 [48]

Answer:

Red Line

m = 1/2

b = 1

Blue Line

m = 1

b = -1

Green Line

m = 3

b = 0

Step-by-step explanation:

First off, we need to know what m and b are first.

m is the slope

b means y-intercept, or, when x is 0

And to find slope use "m = y2 - y1/x2 - x1" (remember, Rise over Run, not Run over Rise!)

<u>Red line</u>: if you count it, you get a point on the line each time you go up once and to the right twice. We can use Rise over run. Rise is y, or its name, go up, which is the 1. then the run which is 2. So, the slope is 1/2 or m = 1/2. and we can see that the y-intercept is 1. m = 1/2, b = 1

<u>Blue Line</u>: This is pretty much the same as the red line, see the slope it's rise once and run once so, the slope is 1/1 which is 1. Then the y-intecept is b which is when x is 0, we check the y-axis line and we see that the y-intercept is -1. m = 1, b = -1

<u>Green Line</u>: And once again, the same as Red Line and Blue Line, the slope is 3. Rise is 3 times, run is once, so, 3/1 which is 3. While the y-intercept is 0 since it is on (0,0). Meaning that it goes through the origin. m = 3, b = 0

8 0

3 years ago

Another question to stimulate the mind 11248 what's the 11th digit and why

choli [55]

Answer:

First member-> 1 -> "1 one"

Second member-> 11 -> "2 ones"

Third member-> 21 -> "1 two, 1 one"

Fourth member -> 1211 -> "1ones, 1 two, 2 ones"

Fifth member-> 111221 -> "3 ones, 2 twos, 1 ones"

Sixth member-> 312211 -> "1three, 1 one, 2 twos, 2 ones"

Seventh member-> 13112221 ->" 1 one, 1 three, 2 ones, 3 twos, 1 one"

Step-by-step explanation:

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3 years ago