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djyliett [7]
2 years ago
10

Arnold took out a loan of 195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have

paid after 30 years?
Mathematics
1 answer:
kolbaska11 [484]2 years ago
3 0

Answer:

25155000

Step-by-step explanation:

<h3>we know intrest (i):-PTR/100</h3>

by formula

  1. <u>195000×30×4.3%</u>

100

2. 5850000<u>×4.3</u>

<u>100</u>

100

3. 25155000

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Arti is mixing some orange paint for the class mural.
vitfil [10]

Answer:

6

Step-by-step explanation:

6 0
2 years ago
A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel.If almonds cost ₹288 per kg and cashew ke
slamgirl [31]

Answer:

Almonds = 400grams

Cashew = 300 grams

Step-by-step explanation:

Let the grams of cashew be represented by = C

the grams of almonds be represented by = A

A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel

C + A = 700g ......Equation 1

C = 700 - A

If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg

Let's convert them to grams

1 kg = 1000grams

For almonds

= 288/1000 = 0.288g

For cashew

= 336/1000 = 0.336g

Hence,

0.288 × A + 0.336g × C = ₹216

0.288A + 0.336C = 216

From Equation 1, substitute 700 - A for C in Equation 2

0.288A + 0.336(700 - A) = 216

0.288A + 235.2 - 0.336A = 216

Collect like terms

0.288A - 0.336A = 216 - 235.2

- 0.048A = -19.2

A = -19.2/-0.048

A = 400 grams

Substitute 400g for a in Equation 1

C + A = 700g ......Equation 1

= C + 400g = 700g

C = 700g - 400g

C = 300g

Therefore, the number of grams of Almonds = 400grams

Cashew = 300 grams

6 0
2 years ago
a car rental service rently purchased all new vehicles .to help cover the cost ,rental rates have to increase 26% from the norma
ruslelena [56]

Answer:

The new rate should be $56.67 per day

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

As per the statement:

Normal rate per day = $45

To find the new rate:

Let new rate be x per day

By definition of proportion:

\frac{126}{100} = \frac{x}{45}

By cross multiply we have;

100x = 126 \times 45

Divide both sides by 100 we get;

x = \frac{126 \times 45}{100}

Simplify:

x = $56.7

Therefore, the new rate should be $56.7 per day




5 0
2 years ago
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
2 years ago
In the diagram of circle A, what is the measure of ∠XYZ?<br><br> 35°<br> 70°<br> 75°<br> 140°
Mademuasel [1]

Answer:   First Option is correct.

Step-by-step explanation:

Since we have given that

Measure of arc WZ = 175°

Measure of ∠XAZ = 105°

We need to find the measure of ∠XYZ.

As we know the angle subtended at the center is the average of the measure of arc intercepted by it angle and its vertical angles.

\frac{175^\circ+\angle XYZ}{2}=105^\circ\\\\175^\circ+\angle XYZ=210^\circ\\\\\angle XYZ=210^\circ-175^\circ\\\\\angle XYZ=35^\circ

Hence, the value of  ∠XYZ is 35°.

Hence, First Option is correct.

3 0
2 years ago
Read 2 more answers
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