James and Michael are the partners in a local business. They needed $480,000 to start the

Mathematics

2 answers:

larisa [96]2 years ago

7 0

Answer:

James invested $160,000

Step-by-step explanation:

- In total, they needed $480,000 to start the business

- 1:2 ratio means one of them payed double the amount than the other

so the expression would be,

2x + x = 480,000

Let x represent how much they each need to invest

the expression can be simplified to,

3x = 480,000

now you need to get x alone, this would be done be dividing both sides by 3

$\frac{3x}{3} = \frac{480,000}{3}\\x = 160,000$

James invest $160,000

Michael invest $160,000 x 2 = $320,000

and if you add them together, you get the total amount

$320,000 + $160,000 = $480,000

Let me know if you have any questions !

Minchanka [31]2 years ago

3 0

Can you answer one of my recent questions?

You might be interested in

If the circumference of a circle measures 3 4 π cm, what is the area of the circle in terms of π? A) 9 8 π cm2 B) 3 8 π cm2 C) 3

Paladinen [302]

O-o idk its hard yesssssssssss

5 0

3 years ago

Read 2 more answers

Uninhibited growth can be modeled by exponential functions other than A(t) =Upper A 0 e Superscript kt. For example, if an i

laila [671]

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than $A(t)=A_{0}e^{kt}$ . for example, if an initial population P₀ requires n units of time to triple, then the function $P(t)=P_{0}(3)^{\frac{t}{n} }$ models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form $P(t)=P_{0}(3)^{\frac{t}{n} }$ that models the population.

b) What will the population be in 47 days?

c) When wil the population reach 750?

d) Express the model from part (a) in the form $A(t)=A_{0}e^{kt}$ .

Answer: a) $P(t)=50(3)^{\frac{t}{30} }$