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nika2105 [10]
3 years ago
11

on june 1, $40,000 of treasury bonds were purchased between interest dates. the broker commission was $600. the bonds pay intere

st at 12%, which is paid semiannually on january 1 and july 1. how much interest revenue will be recorded on july 1?
Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0
Given:
treasury bond = 40,000
brokers commission = 600
interest rate = 12$ p.a
interest paid semi-annually, january 1 and july 1.

Since the treasury bond was sold on June 1, its interest revenue will only be equal to 1 month ( June 1 to July 1).

12% / 12 months = 1% per month

40,000 * 1% = 400 interest revenue to be recorded on July 1.
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A pitcher can throw at a speed of 30 miles per hour. If the pitcher is 60.5 feet from home plate, how many full seconds would it
liubo4ka [24]

Answer:

1.375 seconds

Step-by-step explanation:

One mile is equivalent to 5280 feet.  Throwing at 30 miles an hour is 0.5 miles each minute, or one mile every 120 seconds(Unfortunately for the pitcher, I don't think the ball would make it to home plate). That means it travels 1/120 miles each second, or 44 feet(5280/120). The ball will reach home plate in 1.375 seconds(60.5/44).

4 0
2 years ago
Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group
Firdavs [7]

Answer:

0.05606

Step-by-step explanation:

This is a binomial probability distribution problem.

84% of all households have cable TV, thus;

p = 0.84

There are six households from this area, thus; n = 6

Formula for this binomial distribution is;

P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)

We want to find the proportion of groups where at most three of the households have cable TV.

Thus, it's is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678

P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528

P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963

P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855

Thus;

P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606

5 0
3 years ago
For the rhombus, what are the slopes of the two diagonals? DO NOT introduce any new variables.
Jobisdone [24]

The slopes of the two diagonals of the rhombus are: A. b - f/a - e and -a + e/b - f.

<h3>What is the Slope of a Line Segment?</h3>

To find the slope, the formula used is: change in y/change in x.

If two lines are perpendicular to each other, their slope values will be negative reciprocals.

<h3>What is the Diagonals of a Rhombus?</h3>

In a rhombus, the two diagonals in the rhombus bisects each other at angle 90 degrees. This means that the two diagonals of a rhombus are perpendicular to each other. Therefore, the slope of the diagonals of any rhombus would be negative reciprocals.

The slope of the diagonals of the rhombus given would therefore be negative reciprocals to each other.

Given two endpoints of one of the diagonals as:

(a, b) = (x1, y1)

(e, f) = (x2, y2)

Slope (m) = change in y / change in x = b - f/a - e

The negative reciprocal of b - f/a - e is -a + e/b - f.

Therefore, the slopes of the two diagonals are: A. b - f/a - e and -a + e/b - f.

Learn more about the slopes of diagonals of a rhombus on:

brainly.com/question/3050890

#SPJ1

5 0
1 year ago
Need help just with number 2 please and thank you!!
BaLLatris [955]
I believe the answer is 17
4 0
3 years ago
If the length of a leg of a triangle is 39.2 and the area of the triangle is 63 what is the length of the other leg
Nadya [2.5K]

Answer:

The length of the other leg is 3.21\ units

Step-by-step explanation:

I will assume that the triangle is a right triangle

In a right triangle the legs are perpendicular

so

The area of a right triangle is equal to

A=\frac{1}{2}(a)(b)

where

a and b are the legs of the triangle

In this problem we have

a=39.2\ units

A=63\ units^{2}

substitute the values

63=\frac{1}{2}(39.2)(b)

126=(39.2)(b)

b=126/(39.2)=3.21\ units

7 0
3 years ago
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