1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Greeley [361]
2 years ago
12

If a bank has total deposits of $7,700 and reserves of $2,100: instructions: round to the nearest whole number. (a) what is its

current reserve ratio? % (b) how large is its loan portfolio (outstanding loans)? %
Mathematics
1 answer:
jolli1 [7]2 years ago
3 0
A.What is the total amount of deposits?_Deposits= ($2,000 – $500)/.20 =$7,500

b.What is the total amount of loans? _Loans = $7,500 - $2,000 = $5,500_
You might be interested in
For each day in New England, the probability that it is mostly cloudy is 0.10 . Cindi is planning to go leaf watching, and her f
kolbaska11 [484]

Answer:

0,37

Step-by-step explanation:

It will be easier if we noun the events.

A= Cindi's friend comes to England.

B= New England is mostly cloudly.

We are searching the probability of just A doesn´t happen or just A happens but not B.

The probability of A doesn´t happen is one minus the probability of A:

=(A^{|} )=1-P(A)=1-0.7=0.3

The events A and B are independent for this reason the probability than both occurs is the product of the probability of each event. It means:

P(A \cap B)= P(A)P(B)=0.1*0.7=0.07

The probability of A doesn´t happen or A and B happen is:

P(A^{|} \cup (A \cap B))= P(A^{|} )+P (A \cap B)-P(A^{|} \cap A\cap B)=0.3+0.07-0=0.37

Conclusively we have to rest the probability of A doesn´t happen and A and B happen, but A happens and doesn´t happen and the same time is impossible. For this reason, we have the same result.

P(A^{|} \cup (A \cap B))-P(A^{|} \cap A\cap B)=0.37-0=0.38

Then the probability either Cindi's friend does not come to New England, or she does come but it is mostly cloudy is 0.37

8 0
2 years ago
the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,
kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the <em>binomial distribution</em> is used to solve this question.

<h3>Binomial probability distribution </h3>

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • One in ten students are named Joe, hence p = \frac{1}{10} = 0.1.
  • There are 15 students in the class, hence n = 15.

The probability that at least one of them is named Joe is:

P(X \geq 1) = 1 - P(X = 0)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059

Then:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0
2 years ago
Find the area of the parallelogram by composing into rectangles or decomposing into triangles or other shapes as needed. 8 yd 6
Gennadij [26K]

Answer:

Below.

Step-by-step explanation:

The area = area of a rectangle on the same base and between the same parallel lines

= (15 + 6) * 8

= 21 * 8

= 168 yd^2.

8 0
2 years ago
Read 2 more answers
tony had 1 1/2 gallons of orange juice. He drank 2/7 of the orange juice he had. How mucj orange juice did Tony drink?
Sever21 [200]
There are several information's of immense importance already given in the question.
Amount of juice that Tony actually had = 11/2 gallons
Amount of juice that Tony drank = (11/2) * (2/7) gallons
                                                    = 11/7 gallons
From the above deduction, we can easily conclude that the amount of juice that Tony drank was 11/7 gallons.
6 0
2 years ago
What I'd the square root of 81
Ludmilka [50]

the square root of 81 is 9

5 0
3 years ago
Read 2 more answers
Other questions:
  • A staff member at UF's Wellness Center is interested in seeing if a new stress reduction program will lower employees high blood
    14·2 answers
  • How many solutions are there for the absolute value equation "| 16+ t | = 2t - 3"?
    13·1 answer
  • Tom received a coupon in the mail for 30%off one regular priced item for a local sporting goods store He wishes tp purchase a so
    5·1 answer
  • Click the digit in the ten billions place.<br> 3 0,2 4 2,3 8 6,6 5 1
    9·1 answer
  • Differentiate with respect to t
    9·1 answer
  • WILL GIVE BRAINLIEST!<br> Given that m∠a = 53°, find m∠b.<br> m∠b = <br> °
    7·2 answers
  • Hayar el patrón 7103425320;_________;7103676328;7103801823
    8·1 answer
  • From a hot-air balloon, Guadalupe measures a 31^{\circ} ∘ angle of depression to a landmark that’s 316 feet away, measuring hori
    5·1 answer
  • A 115​-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
    15·1 answer
  • Sally is buying tiles for her bathroom floor. Each tile is 1 foot by 1 foot. Her bathroom floor measures 20 feet by 7 feet.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!