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Yakvenalex [24]

3 years ago

15

Francisco has a savings account of $2,033.88. The interest at a rate of 3.9% compounded twice a year. What will the account bala

nce be in 11 years?
A. $770.94
B. $932.18
C. $1,567.15
D. $1,975.81

1 answer:

d1i1m1o1n [39]3 years ago

3 0

Amount = P(1 + r/t)^nt = 2033.88(1 + 0.039/2)^(11 x 2) = 2033.88(1 + 0.0195)^22 = 2033.88(1.0195)^22 = 2033.88(1.5294) = $3110.60

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A surveyor is conducting measures to see how wide a road is

drek231 [11]

Answer:

D) 45 ft

Step-by-step explanation:

The two triangles are shown below.

Given:

BC = 60 ft, CD = 24 ft and DE = 18 ft.

Since, the two triangles are similar, their corresponding sides are in proportion.

So, $\frac{AB}{DE}=\frac{BC}{CD}=\frac{AC}{CE}$

Now, consider the proportion of sides,

$\frac{AB}{DE}=\frac{BC}{CD}\\AB=\frac{BC}{CD}\times DE\\AB=\frac{60}{24}\times 18\\AB=\frac{60\times 18}{24}=45\ ft$

Therefore, the distance between A and B is 45 ft.

8 0

3 years ago

Identify each point as a solution of the system or not a solution of the system.

lubasha [3.4K]

Answer:

see below

Step-by-step explanation:

Plot the points on the given graph. The ones that fall in on a solid line at the edge of the doubly-shaded area, or fall in the doubly-shaded area, are part of the solution set.

(0, 4) on the dashed line — not a solution

(-2, 4) on red line in blue area — solution

(0, 5) in doubly-shaded area — solution

(–2, 7) in doubly-shaded area — solution

(–4, 1) in blue area — not a solution

(–1, 1) on red line outside blue area — not a solution

(–1.5, 3.5) in doubly-shaded area — solution

6 0

3 years ago

Can someone pleaseeee help if you’re correct I’ll give u brainlist

tatyana61 [14]

s= 18

and,

t= 48

These values makes it correct.

8 0

3 years ago

Read 2 more answers

Which binomial is a factor of 49x^2+84xy+36y^2

sweet-ann [11.9K]

7x + 6y is a binomial that is a factor of given equation

<em><u>Solution:</u></em>

A binomial is a mathematical expression which has only two terms

<em><u>Given expression is:</u></em>

$49x^2 + 84xy + 36y^2$

We have to find the binomial that is a factor to given expression

Let us find the factors of given equation

$49x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}49x^2+84xy+36y^2\mathrm{\:as\:}\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\mathrm{Rewrite\:}49\mathrm{\:as\:}7^2\\\\7^2x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\7^2x^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\7^2x^2=\left(7x\right)^2\\\\Therefore,\\\\\left(7x\right)^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\6^2y^2=\left(6y\right)^2\\\\$

$Therefore\\\\\left(7x\right)^2+84xy+\left(6y\right)^2\\\\\mathrm{Rewrite\:}84xy\mathrm{\:as\:}2\cdot \:7x\cdot \:6y\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=7x,\:b=6y\\\\Therefore,\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2 = \left(7x+6y\right)^2$

Thus we get,

$49x^2 + 84xy + 36y^2 = (7x+6y)^2\\\\49x^2 + 84xy + 36y^2 = (7x+6y)(7x+6y)$

Thus the binomial which is a factor is 7x + 6y

6 0

3 years ago

The length of a rectangle is one more than five times its width. If the perimeter is 38, find the dimensions.

spin [16.1K]

Hello :
let : y The length and x the width .... <span>the perimeter is : 2(x+y)
</span><span>The length of a rectangle is one more than five times its width: y = x +5
</span>the system is: 2(x+y) = 38.....(1)
y = x + 5.........(2)
subst in (1) : 2(x+x+5) = 38
4x+10 = 38
4x =28...... x = 7
but: y = x +5
y = 7+5 = 12

7 0

3 years ago