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monitta
3 years ago
10

Mary scored 10 points less than Judy in the game. Lucy scored twice as many points as

Mathematics
1 answer:
kodGreya [7K]3 years ago
6 0
The answer for this is 10
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Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of
Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

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

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

21000 = P (1+0.078/12)^12×4

21000 = P (1+0.078/12)^48

21000 = P (1+0.0065)^48

21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

6 0
2 years ago
Solve the quadratic equation 6x2 + 1 = 5x. Show your work.
Artyom0805 [142]

Answer:

<h2>Factors = (3x - 1) (2x - 1)</h2><h2>values :- x = 1/3 , 1/2</h2>

Step-by-step explanation:

= > 6x^2 + 1 = 5x

• Bring it in the standard form,

= > 6x^2 - 5x + 1 = 0

= > 6x^2 - (3 + 2)x + 1 = 0

= > 6x^2 - 3x - 2x + 1 = 0

• Take out common

= > 3x (2x - 1) - 1 (2x - 1) = 0

= > (3x - 1) (2x - 1) = 0...factors

= > x = 1/3 and 1/2... values of x

<h2>Hope it helps you!! </h2>

7 0
2 years ago
Which of the following equations is equivalent to −6x+2y=24?
s344n2d4d5 [400]

Answer:

The choice three ;

y = 3x + 12

Step-by-step explanation:

- 6x + 2y = 24 \\ 2y = 24 + 6x \\ \\ y = \frac{24 + 6x}{2}   \\  \\ y =  \frac{24}{2}  +  \frac{6x}{2}  \\  \\ y = 12 + 3x

3 0
2 years ago
Provide the measure of each angle in quadrilateral RSTU​
Vikentia [17]

Answer:

R = 112, S = 64, T = 58, U = 126

Step-by-step explanation:

Quadrilateral ABCD is reflected to create quadrilateral RSTU

The angles are all the same

Since a quadrilateral equals up to 360

112+64+58=234

360-234=126

6 0
3 years ago
Find the 14th term in the sequence 1, 1/3, 1/9, … Find the sum of the first 10 terms of the sequence above.
pychu [463]

Answer:

This is a geometric progresion that begins with 1 and each term is 1/3 the preceeding term

   Let Pn represent the nth term in the sequence

 

   Then Pn = (1/3)^n-1

 

   From this P14 = (1/3)^13 = 1/1594323

 

5. The sum of the first n terms of a GP beginning a with ratio r is given by

   Sn = a* (r^n+1 - 1)/(r - 1)

 

   With n = 10, a = 1 and r = 1/3, S10 = ((1/3)^11 - 1)/(1/3 - 1) = 1.500

6 0
3 years ago
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