Perform the following calculation: (+10) + (–45). A. 55 B. –55 C. –35 D. 35

Answers

Answer 1
Answer:

Answer:

Option C - (+10) + (-45)=-35

Step-by-step explanation:

Given : Expression (+10) + (-45)

To find : Perform the calculation in the given expression ?

Solution :

Step 1 - Write the expression

=(+10) + (-45)

Step 2 - Applying multiplication symbol rule,(+)(-)=(-)

=10-45

Step 3 - Solve the subtraction,

=-35

Therefore, Option C is correct (+10) + (-45)=-35


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How many units long is side w?
A. 14
B. 6.2
C. 22
d. 5.5

Answers

Answer:

d. w is 5.5 units

Step-by-step explanation:

(11)/(16)  =  (w)/(8)

16w = 88

w = 5.5

So d is correct.

Round off 1563385 to the nearest million?

Answers

1,563,385

Look at the millions place. 1 is in the millions place. 
Now look at the number to the right of 1.
Since it is 5 or greater, round 1 up to 2.
Change all the numbers after 1 to 0.

1,563,385 rounded to the nearest million is 2,000,000.

Ashley has two coupons for a phone.Coupon A:
Coupon B:
65% off of a $65 phone
$45 rebate on a $65 phone
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.

Answers

I think it’s Coupon A because the price should be 42.25 or about 42 dollars

The value of the Euler \phi function (\phi is the Greek letter phi) at the positive integer n is defined to be the number of positive integers less than or equal to n that are relativel prime to n, For example for n=14, we have {1, 3, 5, 9, 11, 13} are the positive integers less than or equal to 14 which are relatively prime to 14. Thus \phi (14) = 6.Find the following:\phi(9) = __________.\phi(15) = __________.\phi(75) =__________.

Answers

Answer:

\bf \phi (9)=5

\bf \phi (15)=8

\bf \phi (75)=40

Step-by-step explanation:

Positive integers relative primes to 9 which are less or equal than 9

{1,2,4,5,7}

so

\bf \phi (9)=5

Positive integers relative primes to 15 which are less or equal than 15

{1,2,4,7,8,11,13,14}

and

\bf \phi (15)=8

Positive integers relative primes to 75 which are less or equal than 75

{1,2,4,7,8,11,13,14,16,17,19,22,23,26,28,29,31,32,34,37,38,41,43,44,46,47,49,52,53,56,58,59,61,62,64,67,68,71,73,74}

and

\bf \phi (75)=40

Arrange the four expressions in ascending order of their values when x = -2.

Answers

Answer:

3-1 2-4 1-3 4-2

Step-by-step explanation:

Stanley Bank offers a money market account that earns 1.85% compounded continuously: a) If $10,000 is invested in this type of account, how much will it be worth in 3 years? b) How long will it take for the account to be worth $15,000?

Answers

Answer:

a) $1056.33 b) 23 years

Step-by-step explanation:

a) 10000(1+1.85/100)^3=10565.33 (2d.p.)

b) let x be the no. of years

15000 = 10000(1+1.85/100)^x

1.5 = 1.0185^x

ln both sides

ln 1.5 = x ln 1.0185

x = ln 1.5/ln 1.0185

=22.11

=23 years (rounded up)

Final answer:

To calculate the future value of an investment using continuous compounding, you use the formula A = P*e^(rt). For a $10,000 investment at 1.85% annual interest, its value after 3 years is calculated by substituting the given values into the formula. To find out how many years it will take for the investment to reach $15,000, rearrange the formula to solve for t: t = ln(A/P)/r, and substitute the values.

Explanation:

The subject of your question is related to the mathematical concept known as continuouscompound interest, which Stanley Bank is applying to its money market account. In this concept, the formula is A = P×e^(rt), where A is the final amount that will be accumulated after t years, P is the principal amount or the initial investment, r is the interest rate in decimals (1.85% would be 0.0185), and e is Euler's number (~2.72).

a) To calculate the value of an investment of $10,000 after 3 years with an annual interest rate of 1.85%, you would use the formula: A = $10,000 × e^(0.0185 ×3). This will give you the total value of the investment after 3 years.

b) To calculate the number of years it will take for your investment to amount to $15,000 with the same interest rate, you would need to re-arrange the formula to solve for t: t = ln(A/P) / r. So, it would be calculated as: t = ln($15,000/$10,000) / 0.0185. This would give you the number of years it will take for your initial investment to reach $15,000.

Learn more about Continuous Compound Interest here:

brainly.com/question/32594953

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