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1 year ago

Rhonda has $13. She has one $5 bill, three $1 bills, and one other bill. Is a other bill a $1 bill or a $5 bill explain

Mathematics

1 answer:

morpeh [17]1 year ago

8 0

Answer:

$5 bill

Step-by-step explanation:

If Rhonda has $13 and she has a $5 bill and 3 $1 bills, then she has

5 + 3(1) + x = 13

5 + 3 + x = 13

8 + x = 13

x = 5.

The last bill must be a $5 bill to equal the remaining $5.

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Write three numerical expressions that are equivalent to (0.0004) . (0.005)

yKpoI14uk [10]

The three equivalent numerical expressions are:

$(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})$

$(0.0004) . (0.005)= (\frac{1}{2500}).(\frac{1}{200})$

$(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})$

Solution:

We have to write three numerical expressions that are equivalent to (0.0004) . (0.005)

Given expression is:

(0.0004) . (0.005)

First numerical expression:

We know that 0.0004 can be written in fraction as:

$0.0004 = \frac{0.0004 \times 10000}{10000} = \frac{4}{10000}$

Similarly,

$0.005 = \frac{0.005 \times 1000}{1000} = \frac{5}{1000}$

Therefore,

$(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})$

Second numerical expression:

The first numerical expression can be simplified to get second numerical expression

$(\frac{4}{10000}).(\frac{5}{1000}) = (\frac{1}{2500}).(\frac{1}{200})$

Third numerical expression:

The given expression can be expressed in scientific notation:

Steps for converting to scientific notation:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

$0.0004 = 4 \times 10^{-4}\\\\0.005 = 5 \times 10^{-3}$

Therefore, third equivalent numerical expression is:

$(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})$

8 0

1 year ago

If a person invests $220 at 7% annual interest, find the approximate value of the investment at the end of 10 years.

frez [133]

$\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$220\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &10 \end{cases} \\\\\\ A=220[1+(0.07)(10)]\implies A=220(1.7)\implies A=374$

5 0

1 year ago

Read 2 more answers

Katie invested $33,750 at 11.17% compounded continuously.

ser-zykov [4K]

Answer:

Katie's account balance in 10 years will be $3,769,875

Step-by-step explanation:

you multiply the amount of money you invest by the percentage, and the amount of years.

EX: $33,750 × 11.17% × 10= $3,769,875

5 0

1 year ago

Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?

fenix001 [56]

Answer: THE GRAPH IS ATTACHED.

Step-by-step explanation:

We know that the lines are:

$x + 3y=-3$

$y = \frac{1}{2} x + 1$

Solving for "y" from the first line, we get:

$3y=-x-3\\\\y=-\frac{x}{3}-1$

In order to graph them, we can find the x-intercepts and the y-intercepts.

For the line $x + 3y=-3$ the x-intercepts is:

$0=-\frac{x}{3}-1\\\\(1)(-3)=x\\\\x=-3$

And the y-intercept is:

$y=-\frac{0}{3}-1\\\\y=-1$

For the line $y=\frac{1}{2} x + 1$ the x-intercepts is:

$0=\frac{1}{2} x + 1\\\\-1(2)=x\\\\x=-2$

And the y-intercept is:

$y=\frac{1}{2} (0)+ 1\\\\y=1$

Now we can graph both lines, as you can observe in the image attached (The symbols and $>$ indicates that the lines must be dashed).

By definition, the solution is the intersection region of all the solutions in the system of inequalities.

6 0

1 year ago

Read 2 more answers

Evie and her father are comparing their ages. At the current time, Evie's father is 36 years older than her. Theee years from no

artcher [175]

Let F be the father's current age, and E be Evie's current age.
F = E + 36 this is the current relation between the ages
F + 3 = 5(E + 3) this the relationship in 3 year (hence the + 3)
Then solve by substituting one equation into another:
(E + 36) + 3 = 5(E + 3)
E + 39 =  5E + 15
  24 = 4E
  6 = E
Evie's current age is 6.

7 0

1 year ago