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3 years ago

Determine the intercepts of the line.

Mathematics

2 answers:

Dmitrij [34]3 years ago

6 0

Answer:

Step-by-step explanation:

Alexandra [31]3 years ago

4 0

Answer:

y= (0, 5.5) x= (-7.5, 0)

Step-by-step explanation:

intercept is the point where the line(s) cross with the axis

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Anne deposited $500 in an account that earns 6% simple annual interest. Shelly deposited $500 in an account that earns 6% annual

Inga [223]

Answer:

It is clear that, The Shelly account is $11.23 more than that in Anne account .

Step-by-step explanation:

Given as :

For Anne

The amount deposited in account = p = $500

The rate of interest = r = 6% at simple interest

The time period of deposit = t = 4 years

Let The amount received in account after 4 years = $ $A_1$

<u>From Simple Interest method</u>

Simple Interest = $\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}$

Or, s.i = $\dfrac{\textrm p\times \textrm r\times \textrm t}{100}$

Or, s.i = $\dfrac{\textrm 500\times \textrm 6\times \textrm 4}{100}$

Or, s.i = $\dfrac{12000}{100}$

i.e s.i = $120

∵ Amount = Principal + Interest

Or, $A_1$ = p + s.i

Or $A_1$ = $500 + $120

Or, Amount = $620

So, The Amount in Anne account after 4 years is $620

Again

For, Shelly

The amount deposited in account = P = $500

The rate of interest = R = 6% compounded annually

The time period of deposit = T = 4 years

Let The amount received in account after 4 years = $ $A_2$

<u>From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, $A_2$ = P × $(1+\dfrac{\textrm R}{100})^{\textrm T}$

Or, $A_2$ = $500 × $(1+\dfrac{\textrm 6}{100})^{\textrm 4}$

Or, $A_2$ = $500 × $(1.06)^{4}$

Or, $A_2$ = $500 × 1.26247

Or, $A_2$ = $631.23

So, The amount received by Shelly in her account after 4 years = $631.23

Now, Difference between amount received in their account

i.e $A_2$ - $A_1$ = $631.23 - $620

Or, $A_2$ - $A_1$ = $11.23

Hence, It is clear that, The Shelly account is $11.23 more than that in Anne account . Answer

8 0

3 years ago

Work out the value of the first negative term of the sequence 25 - 3n

fiasKO [112]

Answer:

-2.

Step-by-step explanation:

3n must be greater than 25 for the first negative term:

3n > 25

n > 25/3

n > 8 1/3.

So n = 9 and the first negative term is 25 - 3*9

= 25 - 27

= -2.

3 0

3 years ago

Mary chooses an integer at random from 1 to 6. What is the probability that the integer she chooses is a prime number?

Tpy6a [65]

Answer: 3 out of 6

Step-by-step explanation:

The numbers she choses from are 1-6 therefore its out of 6

The prime numbers before six are two, three, and five.

therefore its 3/6 chance or 1/2 chance she picks a prime number.

5 0

4 years ago

A company dyes two sizes of rugs. A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The

Free_Kalibri [48]

Answer:

4x + 6y > 120

Step-by-step explanation:

i got the same question on my midterm exam.

5 0

3 years ago

Q6) Renee buys 5kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250g of sweets

My name is Ann [436]

Answer:

30% percent profit

Step-by-step explanation:

100 pence in a pound.

1000 grams in a kilogram.

She bought 5000g of sweets.

She pays 10×100=1000 pence.

She put them into 5000÷250=20 bags.

She sells the bags for 65 pence each.

She sells them all for 20×65=1300 pence.

She gets a profit of 300 pence or 3 pounds.

She gets a percent profit of 30%.

3 0

3 years ago