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3 years ago

What is the 45th team of the arithmetic sequence 58,61,64,67

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Answer:

The 45th term is 190.

Step-by-step explanation:

The easiest way to approach this problem is to find an equation for the nth term of the sequence. Here the first term is 58 and the common difference is 3; that is, each term is equal to the previous term, plus 3. The appropriate equation is thus:

a(n) = a(1) + 3(n-1). Check. What is a(2)? Find 58 + 3(1). It's 61, and correct.

Therefore, the 45th term is:

a(45) = 58 + 3(45-1) = 58 + 3(44) = 190

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Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premiu

AnnZ [28]

Premium rates are usually for premium per fixed face value. Jade's annual premium for a 10 year policy is given by Option b: $1,202

<h3>How to calculate the total annual premium for $x ?</h3>

If its given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate annual premium for $x.

Using proportions, we get:

$\rm \$y \: face \: value : \$p \: annual \: premiun\\\\\rm \$1 \: face \: value : \$\dfrac{p}{y} \: annual \: premiun\\\\\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premiun\\$

For given case, from the tables, we see that for age 34, and 10 year life insurance for female gender , there is annual premium of 6.01 per $1000 face value.
Thus, we have p = 6.01, y = 1000

Since Jade wants to buy Life insurance for $200,000, thus, x = $200,000

Putting it in the above derived formula, we get:

$\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premium\\\\\rm \$200000\:face\: value : \$\dfrac{6.01 \times 200000}{1000} \: annual \: premium\\ = \$1202 \: annual \: premiun$

Thus, Jade's annual premium for a 10 year policy is given by Option b: $1,202

Learn more about calculating annual premium cost here:

brainly.com/question/13168988

4 0

2 years ago

A box of light fixtures cost $43 if you had $600 and I bought is moving boxes as you could how much money would you have left

Mademuasel [1]

Answer:

13 Boxes with $41 left over

Step-by-step explanation:

$600/$43 = 13.9 (so she can buy 13 boxes of light fixtures)

$43 x 13 = $559

$600-$559=$41 left over

6 0

3 years ago

Find the values of x, y and z from the given parallelograms.<br>please help please it's a request

Dmitry [639]

Answer:

(ii) (x, y, z) = (110°, 30°, 30°)

(iii) (x, y, z) = (110°, 70°, 70°)

Step-by-step explanation:

The things you need to know and use are ...

Opposite angles of a parallelogram are congruent.

Adjacent angles of a parallelogram are supplementary.

Alternate interior angles between a transversal and parallel lines are congruent.

Corresponding angles where a transversal crosses parallel lines are congruent.

(ii) Angles B and D are opposite, so congruent:

x = 110°

Angle DAB is supplementary to angle B, so is 70°. That means z is ...

z = 70° -40° = 30°

Angle y is "alternate interior" relative to z, so is congruent to z:

y = 30°

(iii) Angle x is adjacent to angle N, so is supplementary to 70°.

x = 180° -70° = 110°

Angle y is opposite angle N, so is congruent.

y = 70°

Angle z is corresponding to angle N, so is congruent. (It is also "alternate interior" with respect to angle y, so is congruent to y.)

z = 70°

8 0

3 years ago

What conclusion can be made ?

Zina [86]

Step-by-step explanation:

CD is congruent to EB

CD≈EB

5 0

3 years ago

Justin is training for a hamburger eating competition. He is eventually able to eat 15 hamburgers in 10 minutes. What is justin’

user100 [1]

Answer:

1.5 hamburgers per minute

Step-by-step explanation:

In 10 minutes, Justin can eat 15 burgers.

In 1 minute, Justin can eat 15/10 burgers.

15/10 = 1.5

7 0

3 years ago