Order the numbers from least to greatest. 7.8 7.88 7.78 7.87 7.77

Identify the values of a, b, and c that would be used in the quadratic formula to solve the equation 3x2− 5x + 5 = 0. A. a = 3,

stepan [7]

<span>3x2− 5x + 5 = 0.
a=3 b=-5 c=5

A. a = 3, b = 5, c = 5
B. a = 3, b = −5, c = 5
C. a = 5, b = −5, c = 0
D. a = −3, b = 5, c = −5

answer is B

</span>

6 0

3 years ago

An inventory record for the bookstore of a local college shows a receipt of 150 accounting books on May 1. Another shipment of 2

babunello [35]

Hi there
Let's order the transactions
on May 1. 150
less On May 20 100 books were sold

Less June 3, 31 books were purchased by the students

Add on June 15 25 books arrived

Add On June 17, a shipment of 150 books arrived

So
the number on hand on June 17
150−100−31+25+150
=194....answer

Hope it helps

4 0

3 years ago

Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the

Gelneren [198K]

Answer:

104.127 m

Step-by-step explanation

In the question instead of chi, it would be kite.

Given: Distance of Brooke from the base of tree is 50 meters.

The kite is directly above the 10 m tree in the 125 m string is fully extended.

Lets assume the height of the kite be "x".

Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.

Using Pythagorean formula:

h²= a²+b²

⇒ $125^{2} = 50^{2} + (x)^{2}$

⇒ $15625 = 2500+ (x)^{2}$

⇒ $15625 = 2500+ x^{2}$

Subtracting both side by 2500

⇒ $13025 = x^{2}$

Square rooting both side, we know√a²=a

⇒ $\sqrt{13025} =x$

∴ x= 114.127 meter.

Next, we know the value of x include the height of tree.

∴ Height of kite flying above tree= $x-10\ m$

⇒ Height of kite flying above tree= $114.127-10= 104.127\ m$

Hence, the height of kite above the tree is 104.127 meters.

3 0

3 years ago

3. Suppose your credit card has a balance of $7800 and an annual interest rate of 16%. You decide

Blizzard [7]

Answer:

$274.22 per month
$2071.92 in total interest
$433.48 more per month
$1379.52 less in interest

Step-by-step explanation:

a) The amortization formula is used to find the monthly payment (A):

A = P(r/n)/(1 -(1 +r/n)^(-nt))

for a loan of a principal amount P at annual rate r compounded n times per year for t years.

For a borrowed amount of $7800 at 16% compounded monthly for 3 years, the payment will be ...

A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·3)) ≈ $274.22

You must pay $274.22 each month to pay off the credit card in 3 years.

__

b) The total amount repaid is 36 times this monthly payment, so is ...

$274.22 × 36 = $9871.92

The amount by which this exceeds the principal borrowed is ...

$9871.92 -7800 = $2071.92

You will pay $2071.92 in interest.

__

c) Changing the time period to 1 year gives the payment value ...

A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·1)) ≈ $707.70

The additional amount you must pay is ...

$707.70 -274.22 = $433.48

You must pay $433.48 more each month.

__

d) Your total interest with the higher payments will be ...

$707.70×12 -7800 = $692.40

The difference in interest amounts is ...

$2071.92 -692.40 = $1379.52

You will pay $1379.52 less in total interest.

_____

<em>Caveat</em>

Here, the monthly amounts are rounded and the total repayment amount is based on that rounded value. In an actual payment situation, the final payment will be adjusted by a small amount to account for the fact that the monthly payment shown is not exact. That will affect the total interest and the difference in interest.

8 0

2 years ago

Number on the Cube Number of Times Rolled

Natasha2012 [34]

Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 = $\frac{27}{100}$
Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head = $\frac{41}{100}$
Therefore, probability of rolling a 6 and tossing a head = $\frac{27}{100}\times\frac{41}{100}=\frac{1107}{10000}$

6 0

3 years ago