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tangare [24]
3 years ago
14

Stealth Bank has deposits of $700 million. It holds reserves of $70 million and has purchased government bonds worth $215 millio

n. The bank's loans have a market value of $490 million. What does Stealth Bank's net worth, or equity capital, equal?
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

Answer:

$75 million

Step-by-step explanation:

Given that:

Reserve value = $70 million

Purchased government bond = 215 million

Market value of loan = $490 million

Net worth :

Assets - liability

Assets = (Market value of loan + purchased government bond + reserve value)

(490 million + 215 million + 70 million)

275 million + 70 million

= $775 million

Liability = Deposits = $700 million

Net worth = ($775 - $700) million

Net worth = $75 million

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If Mike can tune 4 cars in 3 hours. How many cars can Mike tune in 8 hours?
motikmotik

Answer:

10 2/3 cars

Step-by-step explanation:

We can use a ratio

4 cars            x cars

------------- = -----------

3 hours          8 hours

Using cross products

4 *8 = 3 *x

32 = 3x

Divide each side by 3

32/3 = 3x/3

10 2/3 cars

5 0
3 years ago
there are 148 juniors and 272 seniors attending prom this year. if there must be three chaperones per 60 students, how many chap
valkas [14]

21 chaperones are needed for 420 students.

Step-by-step explanation:

No. of juniors = 148

No. of seniors = 272

Total = 148+272 = 420 students

3 chaperones = 60 students

1 chaperone = \frac{60}{3}=20\ students

Ratio of chaperon to students = 1:20

Let,

x be the number of chaperons for 420 students.

Ration of chaperones to students = x:420

Using proportion

Ratio of chaperones to students :: Ratio of chaperons to students

1:20::x:420

Product of mean = Product of extreme

20*x=420*1\\20x=420\\

Dividing both sides by 20

\frac{20x}{20}=\frac{420}{20}\\x=21

21 chaperones are needed for 420 students.

Keywords: ratio, proportion

Learn more about ratios at:

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3 0
3 years ago
Matt gets paid at home for doing extra chores. Last week, he did 6 loads of laundry and 1
emmasim [6.3K]

Matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively

<u>Solution:</u>

Given, Matt gets paid at home for doing extra chores.

We have to find How much does Matt earn for completing each type of chore?

Let the amount for 1 load of laundry be m and amount for 1 load of dish be n.

Now, last week, he did 6 loads of laundry and 1 load of dishes, and his parents paid him $27.

Then, 6 \times amount for 1 load of laundry + 1 \times amount for 1 load of dish = 27

\rightarrow 6 \mathrm{m}+\mathrm{n}=27 \rightarrow(1)

The week before, he finished 1 load of laundry and 9 loads of dishes, earning a total of $31

Then, 1 \times amount for 1 load of laundry + 9 \times amount for 1 load of laundry = 31  ⇒m + 9n = 31 ⇒ (2)

Now let us solve equations (1) and (2)

0 – 53n = - 159

-53n  = -159  

53n = 159

n = 3

Now, substitute n value in (1) ⇒ 6m + 3 = 27 ⇒ 6m = 24 ⇒ m = 4

Hence, matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively.

8 0
3 years ago
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