All categories

3 years ago

What is the value of the number in the hundredths place

Mathematics

1 answer:

crimeas [40]3 years ago

8 0

The 8 is in the hundreds

The 1 is in the tenths

The 8 is in the hundredths

The 5 is in the thousandths

You might be interested in

Justin recently drove to visit his parents who live 96 miles away. On his way there his average speed was 20 miles per hour fast

never [62]

Answer:

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

Step-by-step explanation:

Let the average speed be x +20

Then average speed from his parents' x

And the distance is S=96

Then we know :

$\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing$

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

4 0

3 years ago

What is the common difference or common ratio of the sequence 3,7,11,15...?

olga55 [171]

Answer: you only add 4 each time

Step-by-step explanation:

8 0

3 years ago

A health inspector must visit 44 of 1414 restaurants on monday. in how many ways can she pick a first comma second comma third c

ira [324]

Let's make clear the question, because it may be confusing:
"A health inspector must visit 4 of 14 restaurants on Monday. In how many ways can she pick a first, second, third, and fourth restaurant to visit?"

In order to solve the problem, you need to use permutations: you have 14 possible restaurants to choose as first, the second one will be chosen among the 13 restaurants left, the third one among the remaining 12 and the fourth one will be one of the remaining 11.

Therefore, the total number of possibilities is:
14 × 13 × 12 × 11 = 24024

There are 24024 possible ways to choose the four restaurants to visit.

4 0

3 years ago

It wants an expression. What do you see from that tape diagram? 4 copies of? will equal 76? I know 4x19=76, but there is a varia

lutik1710 [3]

Answer:

sorry I don't know

Step-by-step explanation:

4 0

3 years ago

100 points pls help

Travka [436]

Answer:

Part A: $12,220

Part B: $12,134.08

Part C: First option

Parte C: Second option.

Explanation:

Part A: 7.4% simple interest

r = 7.4% = 0.074
P = $10,000
t = 3 years

Formula: $A=P+Prt$

Calculations:

$A=$10,000+$10,000(7.4\%)(3)\\\\ A=\$10,000+\$10,000(0.074)(3)\\\\ A=\$12,220$

Part B: 6.5% compounded quaterly

r = 6.5% = 0.065

n = 4

P = $10,000

t = 3 years

Formula:

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

Substitute and compute:

$A=\$10,000\bigg(1+\dfrac{0.065}{4}\bigg)^{(4\times3)}$

$A=\$12,134.08$

Part C: Which investement is better

Over the first three years the first option, 7.4% per year simple interest, is a better investment, because the value of its value is $12,220 - $12,134.0 = $85.94 greater than the second option.

Part D: Recomendation

If George is unsure how long he will keep the money in the account, I would recommend to use the second option, because the compounded interest will overcome the simple interest, since the year 5. You can show that with a table:

Value of A in $:

Year Simplet intertest Compound interest

1 10,000 + 10,000(0.074)(1) 10,000(1 + 0.0650/4)¹

10,740 10,666

2 10,000 + 10,000(0.074)(2) 10,000(1 + 0.065/4)²

11,480 11,376

3 10,000 + 10,000(0.074)(3) 10,000(1 + 0.0650/4)³

12,220 12,314

4 10,000 + 10,000(0.074)(4) 10,000(1 + 0.065/4)⁴

12,960 12,942

5 10,000 + 10,000(0.074)(5) 10,000(1 + 0.065/4)⁵

13,700 13,804

8 0

4 years ago