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3 years ago

A newly discovered solar system is found 600 billion kilometers from the sun. How many AU does this represent?

Mathematics

1 answer:

vova2212 [387]3 years ago

6 0

4010.75227336107 is the answer
Hope I helped C:

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The polygons are similar. but they are not necessarily drawn to scale. Find the value of x

Ne4ueva [31]

Answer:

x=9

Step-by-step explanation:

Since the polygons are similar, the ratios of their respective sides are equal.

32/24=(x-1)/6

x-1=8

x=9

4 0

3 years ago

A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have

arsen [322]

The lowest grade that student could get is a 91 or higher

7 0

3 years ago

Help plzzz thank you !

VashaNatasha [74]

Answer:

a. Ameribank-$15,157.50

b. Capital Two-$4,646.25

Step-by-step explanation:

a. Tad's savings is $15,000, we calculate his total amount at the end of the year for each bank:

#Ameribank

$A=P+I=P+PRT\\\\=15000+15000\times 0.0105\times 1\\\\=\$15,157.50$

#Huffington( we use the effective rate to calculate the compound amount):

$i_m=(1+i/m)^m-1\\\\=(1+0.0095/12)^[12}-1=0.009541\\\\A=P(1+i_m)^n\\\\=15000(1.009541)^1\\\\=\$15,143.12$

#Sixth-Third, Take 1 yrs=52 weeks:

$i_m=(1+i/m)^m-1\\\\=(1+0.01/52)^{52}-1=0.01005\\\\A=15000(1.01005)^1\\\\=\$15,150.74$

#Hence, Ameribank is the best option as his money grows to $15,157.50 which is greater than all the remaining two options.

b. We use the compound interest formula $A=P(1+r/n)^{nt}$ to determine which bank gives the best option:

#Capital Two. r=3.75%, n=12,t=4

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0375/12)^{12\times4}\\\\=\$4,646.25$

#J.C Morgan, t=2, r=3.55% n=12

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0355/12)^{12\times 2}\\\\=\$4,293.87$

#Silverman Slacks, n=12,t=3, r=3.65%

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0365/12)^{12\times3}\\\\=\$4,462.14$

We compare the investment amounts after t years:

$Capital>Silver>Morgan=4646.25>4462.14>4293.87$

Hence, Capital two is the best option with an investment amount of $4,646.25

8 0

3 years ago

Read 2 more answers

What is the product of 2x + y and 5x – y + 3?

Radda [10]

Answer:

The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y

Step-by-step explanation:

The product of the two expressions can be expressed mathematically as;

(2x +y) (5x -y +3)

To obtain the product of these expressions, we simply expand the brackets as follows;

2x(5x -y +3) + y(5x -y +3)

= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y

= 10x^2- 2xy + 5xy + 6x - y^2 + 3y

= 10x^2+ 3xy + 6x - y^2 + 3y

The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y

5 0

3 years ago

Read 2 more answers

A regular polygon has an interior angle of approximately 158.8°.

Step2247 [10]

Answer:

17 sides

Step-by-step explanation:

<u>Property of regular polygons:</u>

Sum of Interior Angles = (n−2) × 180°, where n is number of sides

158.8×n = (n - 2)×180
180n - 158.8n = 360
21.2n = 360
n = 360/21.2
n = 17

5 0

3 years ago