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2 years ago

Carlos has 58 pencils what is the value of the digit 5 in this number

Mathematics

2 answers:

djverab [1.8K]2 years ago

6 0

It would be 50 because the 5 is in the tens spot

Luden [163]2 years ago

3 0

The value of the digit is 10

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What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly? Write your answer rounded to the neare

Butoxors [25]

Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)

7 0

2 years ago

Read 2 more answers

Isabella saved 2 nickels today. If she doubles the number of nickels she saves each day, how many days, including today, will it

luda_lava [24]

Answer:

Step-by-step explanation:

Alright, lets gets started.

First day, she saves nickels = 2

As we know, she doubles the number of nickels she saves each day.

Means second day she saves nickels = $2*2 = 4$

Third day she saves nickels = $2*4 = 8$

Fourth day she saves nickels = $2*8=16$

Hence we have $2 + 4 + 8 + 16...$

It is like a geometric series, the sum of nickels she needs more than 500.

So, lets see how many days she will take to save 500 nickels first

Using the sum formula for geometric series

$s=\frac{a(1-r^n)}{(1-r)}$

where s is sum, r is multiplication factor, that is 2 in this case and a is first term of series that is 2 also

$500=\frac{2(1-2^n)}{(1-2)}$

Simplifying, dividing 2 in both sides

$250=\frac{(1-2^n)}{(1-2)}$

$250=\frac{(1-2^n)}{-1}$

Cross multiplying

$-250=1-2^n$

$2^n-1=250$

$2^n=251$

Taking log on both sides

$nlog2=log251$

$n=\frac{log251}{log2}=7.971$

It means it will take 8 days to save mmore than 500 nickels. : Answer

Hope it will help :)

8 0

2 years ago

Sasha is solving a multi-step equation. Her first step is shown below.

MrRissso [65]

Answer:

On the left side, she used commutative property

On the right side, she used distributive property

Step-by-step explanation:

5 0

2 years ago

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

lbvjy [14]

Answer:

x = StartFraction negative

(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

Step-by-step explanation:

0 = – 3x2 – 2x + 6

It can still be written as

– 3x2 – 2x + 6 =0

Quadratic formula=

-b+or-√b^2-4ac/2a

Where

a=-3

b=-2

c=6

x= -(-2)+ or-√(-2)^2-4(-3)(6)/2(-3)

x = StartFraction negative

(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

8 0

2 years ago

Weekly demand for a particular item averages 30 units, with a standard deviation of 4. This item is managed with a fixed-order-i

aivan3 [116]

Answer:

(B)93

Explanation:

Since we are using a fixed-order-interval model,

The Amount to Order=Expected Demand During protection Interval+Safety Stock-Amount at Hand

$=d(OI+LT)+z\sigma_{d}\sqrt{OI+LT}-A$

Where:

d=weekly demand

OI=Order Interval

LT=Lead Time

z=Standard Deviation of Desired Service Level

$\sigma_{d}$ =Standard Deviation of weekly Demand

A= Amount at Hand

$=d(OI+LT)+z\sigma_{d}\sqrt{OI+LT}-A$

$[30(3 + 1)] + [1.964*4*\sqrt{3 + 1} - 43$

$= 120 + 15.712 - 43 = 92.7$

4 0

1 year ago