Hello,
Assume w the wide and l the length of the rectangle.
w<6 (1)
2l+2w=28==>l+w=14==>w=14-l
(1)==> 14-l<6
==>14-6<l
==>l>8
Answer:
S₁₅ = 127.5
Step-by-step explanation:
the nth term of an arithmetic progression is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₃ = 1 and a₇ = 7 , then
a₁ + 2d = 1 → (1)
a₁ + 6d = 7 → (2)
subtract (1) from (2) term by term to eliminate a₁
0 + 4d = 6
4d = 6 ( divide both sides by 4 )
d = 1.5
substitute d = 1.5 into (1) and solve for a₁
a₁ + 2(1.5) = 1
a₁ + 3 = 1 ( subtract 3 from both sides )
a₁ = - 2
the sum to n terms of an arithmetic progression is
=
[ 2a₁ + (n - 1)d ]
with a₁ = - 2 and d = 1.5 , then
S₁₅ =
[ (2 × - 2) + (14 × 1.5) ]
= 7.5(- 4 + 21)
= 7.5 × 17
= 127.5
Answer:
Robert is 10 and his dad is 40 years old
Step-by-step explanation:
We have (4x+5)=3(x+5)
4x+5=3x+15
x=10.
Roberts is 10 years old and his father is 40 years old.
Answer:
(D) 36%
Step-by-step explanation:
Actual cost of truck = $4500
Down payment = $1500
Money left to be paid = 4500-1500 = $3000
A = Monthly payments = 350
n = 10
Principal value (P) = 3000
Using formula,
A=
350 =
= 36% (approx)
Hence (D) is correct.
Step-by-step explanation:
Rate of drop of temperature = Change in temperature/Rate
=> (165 - 135)/15
=> 30/15
=> 2 ⁰F/min
Now, The time at which the temperature of will be 70⁰F = 70/Rate
=> 70/2
=> 35 min
Time for 110⁰ F
=> 110/2
=> 55 min