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choli [55]
3 years ago
13

Nicholas borrowed $250 from his parents to buy a video game system. He has agreed to pay them back $15 each week. Which equation

represents the amount of money Nicholas still owes his parents, p, after w weeks?
Mathematics
1 answer:
AfilCa [17]3 years ago
4 0

Answer:

p = 250 - 15(w)

Step-by-step explanation:

Original amount: 250

No of weeks to return money:  w

Amount to pay each week: 15  

Amount that he has paid back: 15 × w  (When we subtract this term from the total we will get the answer)

So after w weeks he owes his parents :

p = 250 - 15(w)



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Mrs smith invests £30,000 (some in a 5% account, some in an 8% account). After the year shes earned £2100. How much did she put
mixer [17]

Answer:

She deposited £10,000 in the 5% yield account and deposited £20,000 in the 8% yield account

Step-by-step explanation:

Let the amount she put in each account be £x and £y respectively

Total amount deposited is ;

x + y = 30,000 ••••••(i)

Now, let’s look at the earnings:

in the £x , amount earned would be;

5/100 * x = 5x/100

For the £y, amount earned would be;

8/100 * y = 8y/100

Adding both gives the total which is £2,1000

5x/100 + 8y/100 = 2,100

Multiply through by 100

5x + 8y = 210,000 ••••••••(ii)

From the first equation, we know that

x = 30,000 -y

Let’s put this into the second

5(30,000-y) + 8y = 210,000

150,000-5y + 8y = 210,000

3y = 210,000 -150,0000

3y = 60,000

y = 60,000/3

y = £20,000

So mathematically;

x = 30,000-y

x = 30,000 -20,000

x = £10,000

7 0
3 years ago
Mai is flying a plane at an altitude of 1600 ft. She sights a stadium at an angle of
LekaFEV [45]

Answer:

2,789ft

Step-by-step explanation:

The set up will give a right angled triangle.

The altitude will be the opposite side = 1600 ft

The angle of depression = 35°

approximate direct distance to the stadium is the hypotenuse of the trisngle= x

Using the SOH trig identity to get the distance

sin 35 = opp/hyp

sin 35 = 1600/x

x = 1600/sin35

x = 1600/0.5736

x = 2,789.4ft

Hence mai’s approximate direct distance to the stadium is 2,789ft

4 0
3 years ago
True or false 2(a + 6) is equivalent to 2a + 13?
katen-ka-za [31]

Answer:

false

Step-by-step explanation:

5 0
3 years ago
Given that f(x)= x^3/4 +6<br> a) Find f(4)<br> b) Find f^-1(x)<br> c) Find f^-1(8)
Anna35 [415]

a)

f(4)=\dfrac{4^3}{4}+6=4^2+6=16+6=22

b)

\begin{aligned}\\&y=\dfrac{x^3}{4}+6\\&4y=x^3+24\\&x^3=4y-24\\&x=\sqrt[3]{4y-24}\\&f^{-1}(x)=\sqrt[3]{4x-24}\end

c)

f^{-1}(8)=\sqrt[3]{4\cdot8-24}=\sqrt[3]{8}=2

7 0
1 year ago
Read 2 more answers
What is the area of a triangle with a height of 14 feet and a base of 10 feet​
timama [110]

Answer:

Area is 70ft

Step-by-step explanation:

Area of a triangle is A=b × h/ 2 or A=1/2×bh

Let height equal h & base equal b

So,

h=14

b=10

Solve,

A=1/2×14×10

A=1/2×140

A=70

Therefore, the area is 70 feet

7 0
3 years ago
Read 2 more answers
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