Rose and Dennis each open a savings account at the same time. Rose invests $2,600 in an account yielding 4.1% simple interest, a nd Dennis invests $2200 in an account yielding 5.7% simple interest. After nine years, who has the greater total amount of money, and how much greater is it?
2 answers:
Rose = <span>$2,600 x 0.041 x 9 = $959.40
Answer:
Rose has the greater total amount of money. It is $3559.4 - $3328.6 = $230.8 greater.
Step-by-step explanation:
In simple Interest, the future value (A) is calculated as follows:
A = P*( 1 + r*t
)
where:
P is the principal
r is the annual interest rate
t is the number of years between payments
For Rose:
A = 2600*( 1 + 0.041*9
) = $3559.4
For Dennis:
A = 2200*( 1 + 0.057*9
) = $3328.6
Rose has the greater total amount of money. It is $3559.4 - $3328.6 = $230.8 greater
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Step-by-step explanation:
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Median bisects the line.
D≡(
2
−3+5
,
2
−9−8
)≡(1,
2
−17
)
E≡(−
2
1+5
,
2
6−8
)≡(2,−1)
F≡(−
2
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,
2
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)≡(−2,
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1
)=(
x
2
−x
1
y
2
−y
1
)
AD
(x−x
1
)
⇒(y−6)=
⎝
⎜
⎜
⎛
1+1
2
−17
−6
⎠
⎟
⎟
⎞
(x+1)⇒(y−6)=−
4
29
(x+1)
⇒
4
29
x+y−6+
4
29
=0
AD⇒29x+4y+5=0
equation of BE:(y+9)=(−
2+3
1+9
)
BE
(x+3)
⇒(y+9)=
5
8
(x+3)⇒5y+45=8x+24
BE⇒8x−5y−21=0
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⎝
⎜
⎜
⎛
−2−5
−
2
3
+8
⎠
⎟
⎟
⎞
CF
(x−5)
⇒(y+8)=−
14
13
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Given
See attachment
Required
Days colder than -1.75°F
From the attachment, we have:
Days with temperature less than -1.75°F are colder.
-2.5 and -1.9 are less than -1.75
So, we have:
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C. -2
Step-by-step explanation:
To find the slope of the line we take two points
((0,1) and (2, -3)
and use the formula for slope
m= (y2-y1)/ (x2-x1)
= (-3-1)/(2-0)
= -4/2
= -2
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