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2 years ago

In a necklace the ratio of yellow beads to blue beads is 3:1. What percentage of beads are yellow?

Mathematics

2 answers:

Veronika [31]2 years ago

8 0

75 percent because you have to make it out of a hindered and 100 divided by 4 is 25. 25 times 3 is 75

navik [9.2K]2 years ago

4 0

3 yellow beads and 1 blue bead

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Rylee took out a loan for $3600 at 13% interest, compounded annually. If she makes yearly payments of $460, will she ever pay of

elena55 [62]

Given that Rylee took out a loan for $3600 at 13% interest.

Where interest is compounded annually.

Interest for 1 year = 13% of 3600 = 0.13*3600 = 468

Amount due after 1 year = Loan + interest = 3600+468 = 4068

Monthly payment = 460

So Amount to be paid after 1 year = 4068-460 = 3608

New due amount $3608 is more than the loan amount $3600

Which means loan will always remain due for his entire life.

Hence Rylee will never be able to pay off the loan.

Interest must be less than the monthly payment in order to pay off the loan.

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2 years ago

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1 year ago

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In a trapezoid the lengths of bases are 11 and 18. The lengths of legs are 3 and 7. The extensions of the legs meet at some poin

FrozenT [24]

Answer: The length of segments between this point and the vertices of greater base are $7\frac{5}{7}$ and 18.

Step-by-step explanation:

Let ABCD is the trapezoid, ( shown in below diagram)

In which AB is the greater base and AB = 18 DC= 11, AD= 3 and BC = 7

Let P is the point where The extended legs meet,

So, according to the question, we have to find out : AP and BP

In Δ APB and Δ DPC,

∠ DPC ≅ ∠APB ( reflexive)

∠ PDC ≅ ∠ PAB ( By alternative interior angle theorem)

And, ∠ PCD ≅ ∠ PBA ( By alternative interior angle theorem)

Therefore, By AAA similarity postulate,

$\triangle APB\sim \triangle D PC$

Let, DP =x

⇒ $\frac{3+x}{18} = \frac{x}{11}$

⇒ 33 +11x = 18x

⇒ x = 33/7= $4\frac{5}{7}$

Thus, PD= $4\frac{5}{7}$

But, AP= PD + DA

AP= $4\frac{5}{7}+3 =7\frac{5}{7}$

Now, let PC =y,

⇒ $\frac{7+y}{18} = \frac{y}{11}$

⇒ 77 + 11y = 18y

⇒ y = 77/7 = 11

Thus, PC= 11

But, PB= PC + CB

PB= 11+7 = 18

7 0

1 year ago

Sophia and Scott each open a bank account with an initial deposit of $50 each. Scott planned to save 30% of his earnings from hi

scoray [572]

Answer:

During the 9th week

Step-by-step explanation:

Scott: 50 + (0.3)(8×25)t

= 50 + 60t

Sophia: 50 + 45t + 30(t-4)

= -70 + 75t

60t + 50 = 75t - 70

15t = 120

t = 8

After 8 weeks they will have the same amount,

Which is during the 9th week

6 0

2 years ago

Jadyn is looking to purchase a home for $182,000 and will make a $40,000 down payment in order to borrow the remainder. Jadyn’s

AysviL [449]

Answer: Jadyn’s monthly mortgage payment is $812

Step-by-step explanation:

The cost of the house is $182,000.

The down payment made is $$40,000. The balance to be paid would be

182000 - 40000 = $142000

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $142000

r = 0.00351/12 = 0.000293

n = 12 × 15 = 180

Therefore,

P = 142000/[{(1+0.000293)^180]-1}/{0.000293(1+0.000293)^180}]

142000/[{(1.000293)^180]-1}/{0.000293(1.000293)^180}]

P = 142000/{1.054 -1}/[0.000293(1.054)]

P = 142000/(0.054/0.0003088)

P = 142000/174.87

P = $812

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2 years ago